Finding the Fourth Proportional to 10,419.92, 14,379.24 and 5,704.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.92 : 14,379.24 = 5,704.40 : x
2. Step 2: Convert to fraction form
   10,419.92/14,379.24 = 5,704.40/x
3. Step 3: Cross multiply
   10,419.92x = 14,379.24 × 5,704.40
4. Step 4: Simplify right side
   10,419.92x = 82,024,936.66
5. Step 5: Solve for x
   x = 82,024,936.66/10,419.92
6. Step 6: Final answer
   x = 7,871.94