Given the Key Cross Rates in the WSJ $($Wall Street Journal$),$ convert $$1,000$ to JPY$,$ to Euro, then back to USD. How much is the USD after three transactions? Show numbers in $4$ decimal points.

Key Cross Rates

$4$:$59$ PM EDT $5/24/24$

$\backslash$table$[[,$DOLLAR,EURO,POUND,SFRANC,PESO,YEN,CDNDLR$],[$Canada$,1\mathrm{.}3668,1\mathrm{.}4822,1\mathrm{.}7407,1\mathrm{.}4937,0\mathrm{.}081847,0\mathrm{.}008707,-],[$Japan$,156\mathrm{.}96,170\mathrm{.}33,200\mathrm{.}00,171\mathrm{.}59,9\mathrm{.}4000,-,114\mathrm{.}71],[$Mexico$,16\mathrm{.}6984,18\mathrm{.}1270,21\mathrm{.}2771,18\mathrm{.}2476,-,0\mathrm{.}1064,12\mathrm{.}2180],[$Switzerland$,0\mathrm{.}9151,0\mathrm{.}9928,1\mathrm{.}1674,-,0\mathrm{.}054800,0\mathrm{.}005830,0\mathrm{.}6695],[$U$.$K$.,0\mathrm{.}7848,0\mathrm{.}8520,-,0\mathrm{.}8566,0\mathrm{.}046999,0\mathrm{.}005000,0\mathrm{.}5745],[$Euro$,0\mathrm{.}9212,-,1\mathrm{.}1738,1\mathrm{.}0072,0\mathrm{.}055166,0\mathrm{.}005869,0\mathrm{.}6747],[$U$.$S$.,-,1\mathrm{.}0856,1\mathrm{.}2742,1\mathrm{.}0928,0\mathrm{.}059886,0\mathrm{.}006371,0\mathrm{.}7317]]$