Finding the Fourth Proportional to 6,480.50, 8,942.97 and 3,828.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,480.50 : 8,942.97 = 3,828.15 : x
2. Step 2: Convert to fraction form
   6,480.50/8,942.97 = 3,828.15/x
3. Step 3: Cross multiply
   6,480.50x = 8,942.97 × 3,828.15
4. Step 4: Simplify right side
   6,480.50x = 34,235,030.61
5. Step 5: Solve for x
   x = 34,235,030.61/6,480.50
6. Step 6: Final answer
   x = 5,282.78