Let:
x = Original goal
y = Final goal = $322507
a = Percentage raised = 1.130% = 0.0113
so:
[tex]\begin{gathered} y=x+ax \\ so\colon \\ y=x(1+a) \\ _{\text{ }}solve_{\text{ }}for_{\text{ }}x\colon \\ x=\frac{y}{1+a} \\ x=\frac{322507}{0.0113+1} \\ x=\frac{322507}{1.0113} \\ x=318903.3917 \\ x\approx318903.39 \end{gathered}[/tex]Answer:
The original goal was approximately $318903.39
