Finding the Fourth Proportional to 10,458.38, 14,432.50 and 5,742.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.38 : 14,432.50 = 5,742.56 : x
2. Step 2: Convert to fraction form
   10,458.38/14,432.50 = 5,742.56/x
3. Step 3: Cross multiply
   10,458.38x = 14,432.50 × 5,742.56
4. Step 4: Simplify right side
   10,458.38x = 82,879,497.20
5. Step 5: Solve for x
   x = 82,879,497.20/10,458.38
6. Step 6: Final answer
   x = 7,924.70