"Is Michiko a fourth year university student?" -- I would say, みちこさんは 大学(だい-がく)の 四年生(よん-ねん-せい) ですか。 [N.B. I put a hyphen between each hiragana term inside the bracket to correspond each given kanji.] --- 良い 一日を。/ Good day.

The standard way to say is: みちこさんは（大学）四年生ですか？ みちこさんは（だいがく）よんねんせいですか？ In real campus life, many students also would say in this way, みちこさんは四回生ですか？ みちこさんはよんかいせいですか？ (Being a 四回生, michiko might be a third year student if she remains in the same grade for two years. She even might be a first year student in fact! haha.)