Finding the Fourth Proportional to 10,456.16, 14,429.34 and 5,740.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.16 : 14,429.34 = 5,740.40 : x
2. Step 2: Convert to fraction form
   10,456.16/14,429.34 = 5,740.40/x
3. Step 3: Cross multiply
   10,456.16x = 14,429.34 × 5,740.40
4. Step 4: Simplify right side
   10,456.16x = 82,830,183.34
5. Step 5: Solve for x
   x = 82,830,183.34/10,456.16
6. Step 6: Final answer
   x = 7,921.66