A consulting engineering firm is preparing a preliminary cost estimate for a $40-$MW advanced combined cycle natural gas$-$fired power plant. The firm, which completed a similar project in $2012$ with a total cost $($construction and equipment$)$ of $$765\mathrm{.}8$ million, wants to use a construction cost index to update the construction cost. If the construction cost was assumed to be $25\%$ of the total cost and the index value in $2012$ was $8,570,$ estimate the cost of construction for a similar$-$size plant in $2024$ when the index is $9,845.($Round the final answer to the nearest whole number.$)$

The cost of construction in year $2024$ is determined to be $ million.