A portré annyira jól sikerül, hogy nagyítani akarom.

It is the Hungarian way to say so ... that.

• annyira = so / to such an extent
• hogy = that

So annyira jól sikerül, hogy... means it turns out so well that...

This is a very common pattern in Hungarian.

Because jól is an adverb, while jó is an adjective.

• jó portré = a good portrait
• jól sikerül = turns out well

Here the word is describing the verb sikerül, not the noun portré, so Hungarian uses jól.

Here sikerül means to turn out or to come out well.

So A portré jól sikerül is not literally The portrait succeeds, but rather:

• The portrait turns out well
• The portrait comes out well

This verb is very common when talking about photos, drawings, plans, attempts, and results in general.

Because A portré is the subject of sikerül.

In Hungarian:

• the subject usually stays in the basic form
• the direct object often gets -t

So here:

• A portré ... sikerül = The portrait ... turns out
• portrét would be used if portrait were the object

For example:

• A portrét nagyítani akarom. = I want to enlarge the portrait.

Yes, a here means the.

Hungarian has two forms of the definite article:

• a before a consonant
• az before a vowel

Since portré starts with p, a consonant, the correct form is a portré.

Because akarom is the definite conjugation.

Hungarian often uses:

• akarok when the object is indefinite or not specific
• akarom when the object is definite and specific

Here the thing to be enlarged is understood to be the portrait / it, which is definite. So:

• nagyítani akarok = I want to enlarge something / I want to do enlarging
• nagyítani akarom = I want to enlarge it

It is not said directly, because Hungarian often leaves pronouns out when they are obvious from context.

In this sentence, it clearly refers to the portrait, so Hungarian does not need a separate word for it.

The definite ending in akarom already helps signal that a definite object is understood.

Because after akar (to want), Hungarian normally uses the infinitive, just like English uses to + verb.

• akarom nagyítani / nagyítani akarom = I want to enlarge

So this works very much like English want to enlarge.

No, Hungarian word order is flexible, but this version is a natural neutral sentence.

A portré annyira jól sikerül, hogy nagyítani akarom. sounds straightforward and natural.

You can move parts around for emphasis, for example:

• Annyira jól sikerül a portré, hogy nagyítani akarom.

That puts a little more focus on annyira jól. The meaning stays basically the same, but the emphasis changes.

Yes, it could also be past, depending on the situation.

• sikerül = turns out
• sikerült = turned out

The present tense can sound immediate, like you are reacting to the result right now. If you want to describe a finished past result more clearly, you could say:

• A portré annyira jól sikerült, hogy nagyítani akarom.

That means The portrait turned out so well that I want to enlarge it.