Translation:What is the name of the bakery in which you work?
There is no dangling participle in the English translation that is now given. In English, when you use a participle, there should also be a noun or pronoun that it modifies. You can say, "Walking into the garden, I saw a deer." You should not say, "Walking into the garden, there was a deer." I don't know if this rule applies to Italian, but I think I have seen dangling participles.