As a dynamic relational database only certain clouds can successfully host an open company file, even if only a single user. Multi-user complicates it even more. Dropbox and icloud or noecloud or googlecloud can be used to store a backup or exported reports but just won't do what needs to be done as far as keeping all data up to date across multiple logins from multiple users.
Intuit does offer a hosting program of its own that should be guaranteed to work with their own product.
