Crane Corp. uses dollar$-$value LIFO method of computing its inventory cost. Data for the past three years is as follows: Year ended December $31$: $2024,$ Inventory at End$-$of$-$year Prices: $$646000,$ Price Index: $1\mathrm{.}00$; Year ended December $31$: $2025,$ Inventory at End$-$of$-$year Prices: $$1256000,$ Price Index: $1\mathrm{.}05$; Year ended December $31$: $2026,$ Inventory at End$-$of$-$year Prices: $$1247250,$ Price Index: $1\mathrm{.}10.$ What is the $2025$ inventory balance using dollar$-$value LIFO? $($Round intermediate calculations and final answer to $0$ decimal places, e$.$g$.10,000.)$