Finding the Fourth Proportional to 10,458.43, 14,432.94 and 5,742.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.43 : 14,432.94 = 5,742.81 : x
2. Step 2: Convert to fraction form
   10,458.43/14,432.94 = 5,742.81/x
3. Step 3: Cross multiply
   10,458.43x = 14,432.94 × 5,742.81
4. Step 4: Simplify right side
   10,458.43x = 82,885,632.16
5. Step 5: Solve for x
   x = 82,885,632.16/10,458.43
6. Step 6: Final answer
   x = 7,925.25