Finding the Fourth Proportional to 6,468.78, 8,926.20 and 3,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,468.78 : 8,926.20 = 3,635.50 : x
2. Step 2: Convert to fraction form
   6,468.78/8,926.20 = 3,635.50/x
3. Step 3: Cross multiply
   6,468.78x = 8,926.20 × 3,635.50
4. Step 4: Simplify right side
   6,468.78x = 32,451,200.10
5. Step 5: Solve for x
   x = 32,451,200.10/6,468.78
6. Step 6: Final answer
   x = 5,016.59