Problem $03\mathrm{.}053-$ Shifted decreasing gradients

The pumping cost for delivering water from the Ohio River to Wheeling Steel for cooling hol rolled steel was $$1\mathrm{.}800$ million for the first $4$ years. An effective energy conservation program resulted in a reduced cost of $$177$ million in year $5,$ and $$1\mathrm{.}74$ million in year $6,$ and amounts decreasing by $$30,000$ each year through year $10.$ What is the present worth of the pumping costs in year $0\mathrm{.}000$ at an interest rate of $11\mathrm{.}00\%$ per year? $($Round the final answer to three declmal places.$)$

The present worth of the pumping costs is determined to be $ $$