Finding the Fourth Proportional to 10,414.03, 14,371.70 and 5,698.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.03 : 14,371.70 = 5,698.31 : x
2. Step 2: Convert to fraction form
   10,414.03/14,371.70 = 5,698.31/x
3. Step 3: Cross multiply
   10,414.03x = 14,371.70 × 5,698.31
4. Step 4: Simplify right side
   10,414.03x = 81,894,401.83
5. Step 5: Solve for x
   x = 81,894,401.83/10,414.03
6. Step 6: Final answer
   x = 7,863.85