Finding the Fourth Proportional to 10,147.40, 14,005.16 and 7,502.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,147.40 : 14,005.16 = 7,502.48 : x
2. Step 2: Convert to fraction form
   10,147.40/14,005.16 = 7,502.48/x
3. Step 3: Cross multiply
   10,147.40x = 14,005.16 × 7,502.48
4. Step 4: Simplify right side
   10,147.40x = 105,073,432.80
5. Step 5: Solve for x
   x = 105,073,432.80/10,147.40
6. Step 6: Final answer
   x = 10,354.71