The below instructions are outdated and no longer work!

By Mayur on webtrickz.com

1. Login to Twitter and open twitter homepage (Home).

2. Click the ‘Retweets’ drop-down menu and select the ‘Your Tweets, retweeted’ option.

3. You will then see All Your Retweeted tweets. Just hover your mouse cursor over the desired tweet and click on the small grey color arrow button.

4. Now the list of persons who retweeted that tweet will be shown in the right panel. Point your cursor over their twitter profile image and click on it to see their profile.

View full post (with images): See who Retweeted your Tweets in New Twitter