Finding the Fourth Proportional to 10,456.61, 14,429.64 and 5,740.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.61 : 14,429.64 = 5,740.97 : x
2. Step 2: Convert to fraction form
   10,456.61/14,429.64 = 5,740.97/x
3. Step 3: Cross multiply
   10,456.61x = 14,429.64 × 5,740.97
4. Step 4: Simplify right side
   10,456.61x = 82,840,130.35
5. Step 5: Solve for x
   x = 82,840,130.35/10,456.61
6. Step 6: Final answer
   x = 7,922.27