Finding the Fourth Proportional to 10,458.56, 14,432.92 and 5,742.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.56 : 14,432.92 = 5,742.95 : x
2. Step 2: Convert to fraction form
   10,458.56/14,432.92 = 5,742.95/x
3. Step 3: Cross multiply
   10,458.56x = 14,432.92 × 5,742.95
4. Step 4: Simplify right side
   10,458.56x = 82,887,451.39
5. Step 5: Solve for x
   x = 82,887,451.39/10,458.56
6. Step 6: Final answer
   x = 7,925.32