Finding the Fourth Proportional to 10,522.29, 14,540 and 10,009.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522.29 : 14,540 = 10,009.76 : x
2. Step 2: Convert to fraction form
   10,522.29/14,540 = 10,009.76/x
3. Step 3: Cross multiply
   10,522.29x = 14,540 × 10,009.76
4. Step 4: Simplify right side
   10,522.29x = 145,541,910.40
5. Step 5: Solve for x
   x = 145,541,910.40/10,522.29
6. Step 6: Final answer
   x = 13,831.77