Learn Russian: Я хотел бы согласовать бюджет к выходным. - I would like to approve the budget by the weekend.

In Russian, the preposition к followed by the Dative case is used to express a deadline, meaning "by" or "in time for" a certain point. Here, к выходным means the approval needs to be finished before the weekend starts.

Why does the word for weekend end in -ым here (выходным)?

The Russian word for weekend, выходные, is actually a plural adjective that acts like a noun. Since the preposition к requires the Dative case, we must use the Dative plural adjective ending, which is -ым.

Why use the perfective verb согласовать instead of its imperfective pair?

You are talking about a final result: getting the budget completely approved by a specific deadline. The perfective aspect emphasizes this successful completion, whereas the imperfective (согласовывать) would only describe the ongoing process of negotiating it.

What is the purpose of бы after хотел?

The particle бы creates the conditional mood. While я хотел literally means "I wanted", adding бы makes it "I would like". It is a polite, professional way to state your goal in a business setting.

Is бюджет in the Accusative case here? Why doesn't its ending change?