There's all kinds of crazy apache configs you can do, but I'm testing with mod_dav and a config like:

But there might other config entries you need to enable mod_dav and give it a lock directory. The specifics of how you do that are somewhat dependent on how your apache is setup.

This also lets anyone have access to the /disks directory, and can write to any file the webserver has permission to write to, so you probably want to check out the apache docs on Allow as well.