Finding the Fourth Proportional to 10,539.59, 14,543.17 and 10,256.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,539.59 : 14,543.17 = 10,256.09 : x
2. Step 2: Convert to fraction form
   10,539.59/14,543.17 = 10,256.09/x
3. Step 3: Cross multiply
   10,539.59x = 14,543.17 × 10,256.09
4. Step 4: Simplify right side
   10,539.59x = 149,156,071.12
5. Step 5: Solve for x
   x = 149,156,071.12/10,539.59
6. Step 6: Final answer
   x = 14,151.98