Finding the Fourth Proportional to 10,729.24, 14,773.78 and 9,516.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,729.24 : 14,773.78 = 9,516.80 : x
2. Step 2: Convert to fraction form
   10,729.24/14,773.78 = 9,516.80/x
3. Step 3: Cross multiply
   10,729.24x = 14,773.78 × 9,516.80
4. Step 4: Simplify right side
   10,729.24x = 140,599,109.50
5. Step 5: Solve for x
   x = 140,599,109.50/10,729.24
6. Step 6: Final answer
   x = 13,104.29