I want to make sure that I understand your problem: you want to know what quarterly payment are required to accumulate to $16,000 in 11 years @ 4.5% compounded quartrely for an annuity DUE?.
If that is so, then your quartely payments would be=$279.88 per quarter.
The formula you would use for this is this one:
FV=P{[1 + R]^N - 1/ R}=FV OF $1 PER PERIOD.
Where R=Interest rate per period, N=number of periods, P=periodic payment, FV=Future value