Finding the Fourth Proportional to 10,413.50, 14,370.94 and 5,698.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,413.50 : 14,370.94 = 5,698.10 : x
2. Step 2: Convert to fraction form
   10,413.50/14,370.94 = 5,698.10/x
3. Step 3: Cross multiply
   10,413.50x = 14,370.94 × 5,698.10
4. Step 4: Simplify right side
   10,413.50x = 81,887,053.21
5. Step 5: Solve for x
   x = 81,887,053.21/10,413.50
6. Step 6: Final answer
   x = 7,863.55