Finding the Fourth Proportional to 10,456.02, 14,429.33 and 5,740.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.02 : 14,429.33 = 5,740.60 : x
2. Step 2: Convert to fraction form
   10,456.02/14,429.33 = 5,740.60/x
3. Step 3: Cross multiply
   10,456.02x = 14,429.33 × 5,740.60
4. Step 4: Simplify right side
   10,456.02x = 82,832,983.10
5. Step 5: Solve for x
   x = 82,832,983.10/10,456.02
6. Step 6: Final answer
   x = 7,922.04