Finding the Fourth Proportional to 3,922.56, 5,413.77 and 3,792.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,922.56 : 5,413.77 = 3,792.83 : x
2. Step 2: Convert to fraction form
   3,922.56/5,413.77 = 3,792.83/x
3. Step 3: Cross multiply
   3,922.56x = 5,413.77 × 3,792.83
4. Step 4: Simplify right side
   3,922.56x = 20,533,482.20
5. Step 5: Solve for x
   x = 20,533,482.20/3,922.56
6. Step 6: Final answer
   x = 5,234.71