Finding the Fourth Proportional to 6,413.00, 8,850.98 and 3,896.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,413.00 : 8,850.98 = 3,896.78 : x
2. Step 2: Convert to fraction form
   6,413.00/8,850.98 = 3,896.78/x
3. Step 3: Cross multiply
   6,413.00x = 8,850.98 × 3,896.78
4. Step 4: Simplify right side
   6,413.00x = 34,490,287.33
5. Step 5: Solve for x
   x = 34,490,287.33/6,413.00
6. Step 6: Final answer
   x = 5,378.19