2018 Screened In Porch Cost | Screened In Porch Prices, Cost to Build.10 Oct 2017 . Homeowners who upgrade their decks to a screened in porch often remove the original wood or cedar material and replace it with a combination of wood and plastic. Some experts . with a price. The average cost to install a patio enclosure is $13,600, which is much more than your typical screen in porch.