Ballard Jewellers received an invoice dated August $22$ from Safeguard Security Systems for $$5,206\mathrm{.}57$ with terms $2\mathrm{.}5/10,1/20,$ n$/45.$ Ballard made payments of $$1,750$ on September $1,$ $$1,850$ on September $10,$ and $$1,150$ on September $30.$ What amount was still owed on October $1?($Round intermediate calculations and final answer to $2$ decimal places.$)$Balance owed $