Finding the Fourth Proportional to 10,458.09, 14,432.18 and 5,742.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.09 : 14,432.18 = 5,742.38 : x
2. Step 2: Convert to fraction form
   10,458.09/14,432.18 = 5,742.38/x
3. Step 3: Cross multiply
   10,458.09x = 14,432.18 × 5,742.38
4. Step 4: Simplify right side
   10,458.09x = 82,874,960.92
5. Step 5: Solve for x
   x = 82,874,960.92/10,458.09
6. Step 6: Final answer
   x = 7,924.48