Finding the Fourth Proportional to 10,458.96, 14,432.96 and 5,742.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.96 : 14,432.96 = 5,742.96 : x
2. Step 2: Convert to fraction form
   10,458.96/14,432.96 = 5,742.96/x
3. Step 3: Cross multiply
   10,458.96x = 14,432.96 × 5,742.96
4. Step 4: Simplify right side
   10,458.96x = 82,887,911.96
5. Step 5: Solve for x
   x = 82,887,911.96/10,458.96
6. Step 6: Final answer
   x = 7,925.06