Finding the Fourth Proportional to 10,458.12, 14,432.10 and 5,742.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.12 : 14,432.10 = 5,742.30 : x
2. Step 2: Convert to fraction form
   10,458.12/14,432.10 = 5,742.30/x
3. Step 3: Cross multiply
   10,458.12x = 14,432.10 × 5,742.30
4. Step 4: Simplify right side
   10,458.12x = 82,873,447.83
5. Step 5: Solve for x
   x = 82,873,447.83/10,458.12
6. Step 6: Final answer
   x = 7,924.32