Can I share to my Facebook business page?

A while ago ( December 14th) I wanted to share some work that I had been doing on a new website to my Facebook business page. But when I clicked on the share this link, I found that I could only share it with my personal Facebook page. I wrote to the support team at Share this and they said… that the Facebook API does not support this. So that’s a bit of a shame… however having listened to the Social Sardine’s Facebook and Twitter tutorial I’m now aware of a three step process using WordPress with Simple Twitter Connect and a Facebook app called RSS Graffiti. Once the software’s configured… not covered here… you

1. Write your post and Publish it
2. When the post is redisplayed then you publish it to Twitter
3. Then you mark the post as Favourite on Twitter.