AnonymousPeople say and type it all the time. But, it is absolutely not grammatically correct.
What people say all the time is automatically and by definition part of a certain variety and register of English, and it's grammatical according to the grammar of that kind of English. Since preposition at the end are absolutely common and natural in every variety and register of English, they are always grammatical and no one can say or prove it's wrong to do so for any reason. A different example is "It don't matter". It's not part of every variety and register, so you can say it's not grammatical if used in certain contexts, but it is nevertheless grammatical in other varieties and registers of English.
That said, "propulsively" is a technical word, used mainly by people who study or work in a technical field, so it's difficult to know how good it is, unless you are one of those people. What I can say is that those people have no problems using words that don't exist, as long as the terms sound reasonably good and make sense. I would use it, "propulsively", it doesn't sound bad and it makes sense... Marius found that word in books that seems to come from lots of American engineering associations, so... I'd say it's actually in use.
Just my opinion.