"Fluent in four languages, her skills are impeccable."
If you've been following this blog, you know we're dealing here with a misplaced modifier. The sentence says that her skills are fluent in four languages. It's possible that the woman herself is fluent in none. Let's try, "Fluent in four languages, she also has impeccable skills."
Always put modifiers as close as possible to the words they modify. In the original sentence, the pronoun the modifier refers is missing altogether. No wonder the whole thing sounds peculiar.