Jordan is $55$ and wants to retire in $12$ years. Her family has a history of living well into their $90s.$ Therefore, she estimates that she will live to age $97.$ She currently has a salary of $$120,000$ and expects to need about $85\%$ of that amount annually if she retires. She can earn $10$ percent in her portfolio and expects inflation to continue at $3\mathrm{.}50$ percent. Jordan currently has $$305,000$ invested for her retirement. Her Social Security benefit in today's dollars is $$30,000$ annually at a normal age, with a retirement age of $67.$ How much must she save yearly to meet her retirement goals?