Finding the Fourth Proportional to 10,413.77, 14,371.02 and 5,698.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,413.77 : 14,371.02 = 5,698.35 : x
2. Step 2: Convert to fraction form
   10,413.77/14,371.02 = 5,698.35/x
3. Step 3: Cross multiply
   10,413.77x = 14,371.02 × 5,698.35
4. Step 4: Simplify right side
   10,413.77x = 81,891,101.82
5. Step 5: Solve for x
   x = 81,891,101.82/10,413.77
6. Step 6: Final answer
   x = 7,863.74