Finding the Fourth Proportional to 10,414.36, 14,371.62 and 5,698.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.36 : 14,371.62 = 5,698.72 : x
2. Step 2: Convert to fraction form
   10,414.36/14,371.62 = 5,698.72/x
3. Step 3: Cross multiply
   10,414.36x = 14,371.62 × 5,698.72
4. Step 4: Simplify right side
   10,414.36x = 81,899,838.33
5. Step 5: Solve for x
   x = 81,899,838.33/10,414.36
6. Step 6: Final answer
   x = 7,864.13