Finding the Fourth Proportional to 6,144.78, 8,480.81 and 3,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,144.78 : 8,480.81 = 3,627.50 : x
2. Step 2: Convert to fraction form
   6,144.78/8,480.81 = 3,627.50/x
3. Step 3: Cross multiply
   6,144.78x = 8,480.81 × 3,627.50
4. Step 4: Simplify right side
   6,144.78x = 30,764,168.55
5. Step 5: Solve for x
   x = 30,764,168.55/6,144.78
6. Step 6: Final answer
   x = 5,006.55