Will this 1100watt fit for this pc?

You are considering high wattage PSU-lower quality PSU.
My suggestion in that you scale down to some 650W and get a good brande like Corsair or Seasonic.
It will be a better investment.
 
Get this Antec instead for $90 shipped w/promo code + a $20 MIR:
http://www.newegg.com/Product/Product.aspx?Item=N82E16817371025

That's a steal for a psu that has:
a 9.5 performance rating from johnnyguru.com
http://www.jonnyguru.com/modules.php?name=NDReviews&op=Story4&reid=140
80+ bronze certification
semi-modular cables
enough power for 99% of the builds out there and more than enough for any possible upgrades to that system which really only needs about 400-450 watts in it's current configuration.
 
It comes with a 500w PSU which is plenty for a single 5770

You could build a better box than that for that price ... here's w/ about 10 minutes effort

Antec 902 / EA-500 $140
http://www.newegg.com/Product/ComboDealDetails.aspx?ItemList=Combo.345275

ASUS P7H55D-M EVO & i5-650 $290
http://www.newegg.com/Product/ComboDealDetails.aspx?ItemList=Combo.350381

Saphiere Vapor X HD 5770 & OCZ Gold 2 x 2GB $266
http://www.newegg.com/Product/ComboDealDetails.aspx?ItemList=Combo.348926

Seagate 7200.12 $85
http://www.newegg.com/Product/Product.aspx?Item=N82E16822148433

Card Reader $35
http://www.newegg.com/Product/Product.aspx?Item=N82E16820176016

Saitek CD6400000A1/06/1 Black Modern Warfare 2 Combat Keyboard $40
http://www.newegg.com/Product/Product.aspx?Item=N82E16823175007

Logitech MX518 8 Buttons 1 x Wheel USB Wired Optical 1800 dpi Gaming Mouse $43
http://www.newegg.com/Product/Product.aspx?Item=N82E16826104178

Logitech G15 104 Normal Keys 29 Function Keys USB Wired Standard Gaming Keyboard $85
http://www.newegg.com/Product/Product.aspx?Item=N82E16823126034

$984