Google customizes results for users. You probably visit you site quite often, so google sees it as important to you, hence it showing up first for you when logged in. Logout of your google account in chrome and you will see true results.
Google started personalizing results to each individual person back in December. You always need to log out of Google accounts and clear cookies if you want to have some idea what others are seeing. It’ll never be the same for everyone though, as others’ personalized results might have your site ranked higher or lower.
I would like to mention something else (maybe a bit off-topic, but it’s still about chrome and google results).
I noticed, without being logged in to any google account, that when I used the operator site: it showed less pages in Chrome, and more in Firefox and IE.
For some reason tha I don’t know -if you do please enlighten me- that was caused by an SEO extension I had in Chrome.
Once I uninstalled it, the results from these three browsers were identical.