Finding the Fourth Proportional to 6,356.50, 8,771.97 and 3,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,356.50 : 8,771.97 = 3,872.50 : x
2. Step 2: Convert to fraction form
   6,356.50/8,771.97 = 3,872.50/x
3. Step 3: Cross multiply
   6,356.50x = 8,771.97 × 3,872.50
4. Step 4: Simplify right side
   6,356.50x = 33,969,453.83
5. Step 5: Solve for x
   x = 33,969,453.83/6,356.50
6. Step 6: Final answer
   x = 5,344.05