Mick, you are an idiot.
September 30 Cash = $1.7m
Quarterly Burn = $1.5m
Theoretical Cash at December 30 = $200k
Raising Complete Approx 20 January = $1.5m injection
Cash burn per month, on above = $500k
Therefore, at theoretical cash of $200k,about 12.4 days' of working capital left
Result: Capital injection of $1.5m will leave the company with $1.5m in cash and presumably it will maintain cash burn
You don't need a calculator to do the above.