How to move a project into a folder?

Let’s say:

  1. I create an inbox item that will probably become a project.
  2. Later I’m clearing clearing my inbox and I encounter that item.
  3. I decide I want to move the item (as a project) into an existing folder.

How do I do that?

I realize that I can go to the folder and re-create the item as a new project within that folder. What I want to do is shift the inbox item to a folder without leaving the inbox.