Finding the Fourth Proportional to 10,540.91, 14,546.66 and 5,761.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.91 : 14,546.66 = 5,761.15 : x
2. Step 2: Convert to fraction form
   10,540.91/14,546.66 = 5,761.15/x
3. Step 3: Cross multiply
   10,540.91x = 14,546.66 × 5,761.15
4. Step 4: Simplify right side
   10,540.91x = 83,805,490.26
5. Step 5: Solve for x
   x = 83,805,490.26/10,540.91
6. Step 6: Final answer
   x = 7,950.50