Finding the Fourth Proportional to 10,457.46, 14,431.50 and 5,742

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.46 : 14,431.50 = 5,742 : x
2. Step 2: Convert to fraction form
   10,457.46/14,431.50 = 5,742/x
3. Step 3: Cross multiply
   10,457.46x = 14,431.50 × 5,742
4. Step 4: Simplify right side
   10,457.46x = 82,865,673
5. Step 5: Solve for x
   x = 82,865,673/10,457.46
6. Step 6: Final answer
   x = 7,924.07