Finding the Fourth Proportional to 7,867.40, 10,828.50 and 7,413.80

Step by Step Solution

1. Step 1: Write the proportion equation
   7,867.40 : 10,828.50 = 7,413.80 : x
2. Step 2: Convert to fraction form
   7,867.40/10,828.50 = 7,413.80/x
3. Step 3: Cross multiply
   7,867.40x = 10,828.50 × 7,413.80
4. Step 4: Simplify right side
   7,867.40x = 80,280,333.30
5. Step 5: Solve for x
   x = 80,280,333.30/7,867.40
6. Step 6: Final answer
   x = 10,204.18