The euro$-$dollar exchange rate, EUR$/$USD$,$ declined from EUR$0\mathrm{.}9/$USD on April $15,2011$ to EUR$0\mathrm{.}85/$USD on July $20,2011.$ Over the period July $20,2011$ to Dec $31$st$,2011$ the Euro appreciated by $14\%$ against the USD. What was the EUR$/$USD exchange rate on Dec $31$st$,2011?$ The answer is EUR $0\mathrm{.}746/$USD$.$ Please explain how they found this answer.