the correct answer is c.
The answer is c. "A comma belongs after the word transcript" because when writing a sentence that contains a sequence of words or items, you have to add a comma after each of the items.
EXAMPLE: Sarah's favorite colors are <u>yellow, red, blue, and green.</u>
the underlined portion of the sentence is the actual example. the error from your sentence was the fact that there wasn't a comma after the phrase "Umberto had to obtain his high school transcript".
The correct way to write this sentence would be "In order to complete his college applications, Umberto had to obtain his high school transcript, get letters of recommendation from teachers, and write a 500 word essay."
Hope this helps! :)