Finding the Fourth Proportional to 10,502.40, 14,501.76 and 7,152.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.40 : 14,501.76 = 7,152.24 : x
2. Step 2: Convert to fraction form
   10,502.40/14,501.76 = 7,152.24/x
3. Step 3: Cross multiply
   10,502.40x = 14,501.76 × 7,152.24
4. Step 4: Simplify right side
   10,502.40x = 103,720,067.94
5. Step 5: Solve for x
   x = 103,720,067.94/10,502.40
6. Step 6: Final answer
   x = 9,875.84