Finding the Fourth Proportional to 10,457.98, 14,432.04 and 5,742.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.98 : 14,432.04 = 5,742.57 : x
2. Step 2: Convert to fraction form
   10,457.98/14,432.04 = 5,742.57/x
3. Step 3: Cross multiply
   10,457.98x = 14,432.04 × 5,742.57
4. Step 4: Simplify right side
   10,457.98x = 82,876,999.94
5. Step 5: Solve for x
   x = 82,876,999.94/10,457.98
6. Step 6: Final answer
   x = 7,924.76