Crane Corp. uses dollar$-$value LIFO method of computing its inventory cost. Data for the past three years is as follows:

Year ended Inventory at Price

December $31$ End$-$of$-$yearPrices Index

$2024$ $$6460001\mathrm{.}00$

$202512560001\mathrm{.}05$

$202613472501\mathrm{.}10$

What is the $2025$ inventory balance using dollar$-$value LIFO? $($Round intermediate calculations and final answer to O decimal places, e$.$g$.$

$10,000.)$

O $$1223700$

O $$1256000$

$$ $$1253700$

O $$1281000$