At the beginning of $2024,$ a company adopts the dollar$-$value LIFO inventory method for its one inventory pool. The pool's value on that date was $$1,150,000.$ The $2024$ ending inventory valued at year$-$end costs was $$1,414,000$ and the year$-$end cost index was $1\mathrm{.}01.$

Calculate the inventory value at the end of $2024$ using the dollar$-$value LIFO method.

$\backslash$table$[[$Date$,$Inventory Layers converted to Base Year Cost,Inventory Layers converted to Cost,$\backslash$table$[[$Inventory DVL$],[$Cost$]]],[\backslash$table$[[$Inventory at$],[$year$-$end cost$]],\backslash$table$[[$Year$-$end$],[$cost$],[$index$]],,\backslash$table$[[$Inventory$],[$Layers at$],[$Base Year$],[$Cost$]],,\backslash$table$[[$Inventory$],[$Layers at Base$],[$Year Cost$]],\backslash$table$[[$Year$-$end$],[$cost$],[$index$]],,\backslash$table$[[$Inventory$],[$Layers$],[$Converted to$],[$Cost$]]],[\frac{01}{01}\frac{?}{2024},,,=,,$Base,,,$=,,)],[\frac{12}{31}\frac{?}{2024},,,=,,$Base,,,$=,,],[,,,,,2024,,,=,,$$$]]$