Finding the Fourth Proportional to 11,433.15, 15,780.42 and 9,542.61

Step by Step Solution

1. Step 1: Write the proportion equation
   11,433.15 : 15,780.42 = 9,542.61 : x
2. Step 2: Convert to fraction form
   11,433.15/15,780.42 = 9,542.61/x
3. Step 3: Cross multiply
   11,433.15x = 15,780.42 × 9,542.61
4. Step 4: Simplify right side
   11,433.15x = 150,586,393.70
5. Step 5: Solve for x
   x = 150,586,393.70/11,433.15
6. Step 6: Final answer
   x = 13,171.03