Finding the Fourth Proportional to 10,456.52, 14,429.62 and 5,740.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.52 : 14,429.62 = 5,740.68 : x
2. Step 2: Convert to fraction form
   10,456.52/14,429.62 = 5,740.68/x
3. Step 3: Cross multiply
   10,456.52x = 14,429.62 × 5,740.68
4. Step 4: Simplify right side
   10,456.52x = 82,835,830.94
5. Step 5: Solve for x
   x = 82,835,830.94/10,456.52
6. Step 6: Final answer
   x = 7,921.93