Finding the Fourth Proportional to 6,413.94, 8,852.13 and 3,896.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,413.94 : 8,852.13 = 3,896.10 : x
2. Step 2: Convert to fraction form
   6,413.94/8,852.13 = 3,896.10/x
3. Step 3: Cross multiply
   6,413.94x = 8,852.13 × 3,896.10
4. Step 4: Simplify right side
   6,413.94x = 34,488,783.69
5. Step 5: Solve for x
   x = 34,488,783.69/6,413.94
6. Step 6: Final answer
   x = 5,377.16