Finding the Fourth Proportional to 6,466.50, 8,923.77 and 3,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,466.50 : 8,923.77 = 3,522.50 : x
2. Step 2: Convert to fraction form
   6,466.50/8,923.77 = 3,522.50/x
3. Step 3: Cross multiply
   6,466.50x = 8,923.77 × 3,522.50
4. Step 4: Simplify right side
   6,466.50x = 31,433,979.83
5. Step 5: Solve for x
   x = 31,433,979.83/6,466.50
6. Step 6: Final answer
   x = 4,861.05