Finding the Fourth Proportional to 10,457.38, 14,431.12 and 5,741.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.38 : 14,431.12 = 5,741.56 : x
2. Step 2: Convert to fraction form
   10,457.38/14,431.12 = 5,741.56/x
3. Step 3: Cross multiply
   10,457.38x = 14,431.12 × 5,741.56
4. Step 4: Simplify right side
   10,457.38x = 82,857,141.35
5. Step 5: Solve for x
   x = 82,857,141.35/10,457.38
6. Step 6: Final answer
   x = 7,923.32