Questions & Answers about Пожалуйста, пропустите меня вперёд.
Пропустите is the imperative form of пропустить, meaning let through / allow to pass / let go ahead.
In this sentence, it is the polite singular or plural command form:
- said to one person politely
- or to more than one person
So it means something like:
- Please let me through
- Please let me go ahead
The ending -ите is typical for many polite/plural imperative forms in Russian.
Compare:
- пропусти = let through! (informal, to one person)
- пропустите = let through! (polite to one person, or to several people)
So the sentence sounds respectful and normal for speaking to strangers, people in a line, passengers, and so on.