Finding the Fourth Proportional to 10,456.92, 14,429.61 and 5,741.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.92 : 14,429.61 = 5,741.10 : x
2. Step 2: Convert to fraction form
   10,456.92/14,429.61 = 5,741.10/x
3. Step 3: Cross multiply
   10,456.92x = 14,429.61 × 5,741.10
4. Step 4: Simplify right side
   10,456.92x = 82,841,833.97
5. Step 5: Solve for x
   x = 82,841,833.97/10,456.92
6. Step 6: Final answer
   x = 7,922.20