As an answer someone posted a link to http://www.yorbay.com/led-mini-projector-for-iphone-4-4s-monolith-pocket-dlp-projector-hard-battery-charger-case (the answer has been deleted so you can't see it when going to the question).
The answer has been voted to -3, and I after I reviewed it as "Looks good" I was told;
This post has severe quality issues.
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But I don't agree. This answer is a link to product that will help the questioner. (It's a projector - which is what the user is looking for, never mind that the entire question is off topic, this is a review of the answer not the question.)
Yes, I know it looks like advertising, but I don't believe that it is. And I also noted that the questioner wants to connect to an existing projector, but giving a link to an alternative way of solving the problem is not bad.