inventory valuation on December $31,2019.$ Its inventory at that date was $$1,100,000$ and the relevant price index was $100.$ Information regarding inventory for subsequent years is as follon

$\backslash$table$[[$Date$,\backslash$table$[[$Inventory at$],[$Current Prices$]],\backslash$table$[[$Current$],[$Price Index$]]],[$December $31,2020,$$$1,284,000,107],[$December $31,2021,1,450,000,125],[$December $31,2022,1,625,000,130]]$

What is the cost of the ending inventory at December $31,2021$ under dollar$-$value LIFO? $($show work$)$