Finding the Fourth Proportional to 10,413.85, 14,371.06 and 5,633.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,413.85 : 14,371.06 = 5,633.78 : x
2. Step 2: Convert to fraction form
   10,413.85/14,371.06 = 5,633.78/x
3. Step 3: Cross multiply
   10,413.85x = 14,371.06 × 5,633.78
4. Step 4: Simplify right side
   10,413.85x = 80,963,380.02
5. Step 5: Solve for x
   x = 80,963,380.02/10,413.85
6. Step 6: Final answer
   x = 7,774.59