Why iCloud.com informs that my Browser is not Compatible? My Safari is Version 7.0.1 (9537.73.11) and OS X 10.9.1

By using iCloud.com, I get a message that my browser is not compatible with the iCloud.com . But I use the latest versions of Safari and OS X

- Safari is Version 7.0.1 (9537.73.11)

- OS X 10.9.1

- Mac (27-inch Mid 2010), OS X Mountain Lion (10.8.2), iTunes 11

I have another Mac 20-inch Dual Core , older than this, but with the same versions of Safari and OS X and everything works ok.

I tried the Apple support, and they guided me to do the cleaning and repairing disk permissions, but that did not work!

That is, I'm unsure what to do! Has anyone gone through this problem? Any suggestions?

Thank you