Finding the Fourth Proportional to 10,540.43, 14,546.07 and 5,760.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.43 : 14,546.07 = 5,760.58 : x
2. Step 2: Convert to fraction form
   10,540.43/14,546.07 = 5,760.58/x
3. Step 3: Cross multiply
   10,540.43x = 14,546.07 × 5,760.58
4. Step 4: Simplify right side
   10,540.43x = 83,793,763.56
5. Step 5: Solve for x
   x = 83,793,763.56/10,540.43
6. Step 6: Final answer
   x = 7,949.75