Finding the Fourth Proportional to 10,414.32, 14,371.75 and 5,698.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.32 : 14,371.75 = 5,698.60 : x
2. Step 2: Convert to fraction form
   10,414.32/14,371.75 = 5,698.60/x
3. Step 3: Cross multiply
   10,414.32x = 14,371.75 × 5,698.60
4. Step 4: Simplify right side
   10,414.32x = 81,898,782.69
5. Step 5: Solve for x
   x = 81,898,782.69/10,414.32
6. Step 6: Final answer
   x = 7,864.06