Nordstrom's inventory at the beginning of $2024$ was $$100,800.$ The ending inventory, valued at year$-$end cost levels, and the relative cost index for the future is

$1547$

Yearlend Ending Inventory Cost Index

$2024$ $ $128,5201\mathrm{.}05$

$2025146,5281\mathrm{.}10$

$2026156,9681\mathrm{.}20$

How much should the inventory be at the end of $2024$ using dollar$-$valve LIFO?

Multiple Chorce

$$23,430$

$$122\mathrm{.}400$

$$100\mathrm{.}800$

$$128400$