a report in the bottom drawer on ...

>There is a report in the bottom drawer on the academic performance of Hispanic students. it sounds better as, "There is a report on the academic performance of Hispanic students in the bottom drawer." I'd personally write it like this, "There is a report on Hispanic students' academic performance in the bottom drawer."

Yeah sounds good to me as a statement. If you're asking somebody to retrieve it then add that onto the end

It works perfectly fine, but it's not as clear as it possibly could be.  "There is a report on the academic performance of Hispanic students in the bottom drawer." Is clearer, and "In the bottom drawer, there is a report on the achedemic performance of Hispanic students." Is even clearer. The way you have it written is less clear because: As you're reading the sentence word by word, when we get to "...drawer on the academic..." we have this moment where we don't know if we're describing the report or the drawer. Are we about to describe the bottom drawer as being on the academic floor, perhaps? And then we get hit with "performance of Hispanic students" and we have to reorganize the sentence and digest a fairly abstract concept at the same time. Not a big deal, but it does demand a small cognitive task from the reader. If phrase is "...students in the bottom..." perhaps we're about to say "...bottom rung of the economic ladder" or something, so the problem is similar. But "drawer" is a very simple concept and the end of the sentence, so it's easier to process. By putting the "In the bottom drawer," phrase at the beginning and separating it with a comma, we remove any chance of confusing the reader, at the expense of making them wait a moment to discover the subject we're talking about. It's a bit of a trade off, and none is technically more correct than any other, but I personally prefer to separate them this way.

A native speaker would understand what you meant, but it's incorrect. The placement of the description should be next to "a report". If you isolate the phrase, "...the bottom drawer on the academic performance of Hispanic students" - this part of the statement doesn't actually make sense.