Finding the Fourth Proportional to 10,458.42, 14,432.76 and 5,742.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.42 : 14,432.76 = 5,742.78 : x
2. Step 2: Convert to fraction form
   10,458.42/14,432.76 = 5,742.78/x
3. Step 3: Cross multiply
   10,458.42x = 14,432.76 × 5,742.78
4. Step 4: Simplify right side
   10,458.42x = 82,884,165.47
5. Step 5: Solve for x
   x = 82,884,165.47/10,458.42
6. Step 6: Final answer
   x = 7,925.11