Vostro 270s with i3-3220 + LGA1155 socket CPU Upgrade to i7-4770 possible?

I have a Dell Vostro 270s with a stock i-3220 processor. I already upgraded to an SSD drive and added RAM. Can I upgrade to an I7-4770 processor since it uses the same LGA1155 socket? Can I reuse the stock fan and fan shroud? If not, which fan should I use? I already updated the Bios to A13.

If I can not use the i-3220 processor, what is the fastest processor I can use? Do I need a new fan and shroud? Anyone on these forum with experience?