Finding the Fourth Proportional to 10,457.72, 14,431 and 5,741.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.72 : 14,431 = 5,741.98 : x
2. Step 2: Convert to fraction form
   10,457.72/14,431 = 5,741.98/x
3. Step 3: Cross multiply
   10,457.72x = 14,431 × 5,741.98
4. Step 4: Simplify right side
   10,457.72x = 82,862,513.38
5. Step 5: Solve for x
   x = 82,862,513.38/10,457.72
6. Step 6: Final answer
   x = 7,923.57