Finding the Fourth Proportional to 10,456.24, 14,429.56 and 5,740.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.24 : 14,429.56 = 5,740.64 : x
2. Step 2: Convert to fraction form
   10,456.24/14,429.56 = 5,740.64/x
3. Step 3: Cross multiply
   10,456.24x = 14,429.56 × 5,740.64
4. Step 4: Simplify right side
   10,456.24x = 82,834,909.32
5. Step 5: Solve for x
   x = 82,834,909.32/10,456.24
6. Step 6: Final answer
   x = 7,922.06