Finding the Fourth Proportional to 10,413.99, 14,371.50 and 5,698.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,413.99 : 14,371.50 = 5,698.17 : x
2. Step 2: Convert to fraction form
   10,413.99/14,371.50 = 5,698.17/x
3. Step 3: Cross multiply
   10,413.99x = 14,371.50 × 5,698.17
4. Step 4: Simplify right side
   10,413.99x = 81,891,250.16
5. Step 5: Solve for x
   x = 81,891,250.16/10,413.99
6. Step 6: Final answer
   x = 7,863.58