Finding the Fourth Proportional to 11,617.31, 16,034.42 and 7,144.90

Step by Step Solution

1. Step 1: Write the proportion equation
   11,617.31 : 16,034.42 = 7,144.90 : x
2. Step 2: Convert to fraction form
   11,617.31/16,034.42 = 7,144.90/x
3. Step 3: Cross multiply
   11,617.31x = 16,034.42 × 7,144.90
4. Step 4: Simplify right side
   11,617.31x = 114,564,327.46
5. Step 5: Solve for x
   x = 114,564,327.46/11,617.31
6. Step 6: Final answer
   x = 9,861.52