Finding the Fourth Proportional to 10,414.25, 14,371.67 and 5,698.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.25 : 14,371.67 = 5,698.57 : x
2. Step 2: Convert to fraction form
   10,414.25/14,371.67 = 5,698.57/x
3. Step 3: Cross multiply
   10,414.25x = 14,371.67 × 5,698.57
4. Step 4: Simplify right side
   10,414.25x = 81,897,867.16
5. Step 5: Solve for x
   x = 81,897,867.16/10,414.25
6. Step 6: Final answer
   x = 7,864.02