Finding the Fourth Proportional to 9,501.38, 13,111.90 and 5,309.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,501.38 : 13,111.90 = 5,309.63 : x
2. Step 2: Convert to fraction form
   9,501.38/13,111.90 = 5,309.63/x
3. Step 3: Cross multiply
   9,501.38x = 13,111.90 × 5,309.63
4. Step 4: Simplify right side
   9,501.38x = 69,619,258.76
5. Step 5: Solve for x
   x = 69,619,258.76/9,501.38
6. Step 6: Final answer
   x = 7,327.28