Finding the Fourth Proportional to 10,413.91, 14,371.43 and 5,698.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,413.91 : 14,371.43 = 5,698.20 : x
2. Step 2: Convert to fraction form
   10,413.91/14,371.43 = 5,698.20/x
3. Step 3: Cross multiply
   10,413.91x = 14,371.43 × 5,698.20
4. Step 4: Simplify right side
   10,413.91x = 81,891,282.43
5. Step 5: Solve for x
   x = 81,891,282.43/10,413.91
6. Step 6: Final answer
   x = 7,863.64