Finding the Fourth Proportional to 10,456.27, 14,429.67 and 5,740.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.27 : 14,429.67 = 5,740.85 : x
2. Step 2: Convert to fraction form
   10,456.27/14,429.67 = 5,740.85/x
3. Step 3: Cross multiply
   10,456.27x = 14,429.67 × 5,740.85
4. Step 4: Simplify right side
   10,456.27x = 82,838,571.02
5. Step 5: Solve for x
   x = 82,838,571.02/10,456.27
6. Step 6: Final answer
   x = 7,922.39