Finding the Fourth Proportional to 10,456.44, 14,429.71 and 5,740.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.44 : 14,429.71 = 5,740.69 : x
2. Step 2: Convert to fraction form
   10,456.44/14,429.71 = 5,740.69/x
3. Step 3: Cross multiply
   10,456.44x = 14,429.71 × 5,740.69
4. Step 4: Simplify right side
   10,456.44x = 82,836,491.90
5. Step 5: Solve for x
   x = 82,836,491.90/10,456.44
6. Step 6: Final answer
   x = 7,922.05