Finding the Fourth Proportional to 6,385.50, 9,522.70 and 5,677.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,385.50 : 9,522.70 = 5,677.56 : x
2. Step 2: Convert to fraction form
   6,385.50/9,522.70 = 5,677.56/x
3. Step 3: Cross multiply
   6,385.50x = 9,522.70 × 5,677.56
4. Step 4: Simplify right side
   6,385.50x = 54,065,686.42
5. Step 5: Solve for x
   x = 54,065,686.42/6,385.50
6. Step 6: Final answer
   x = 8,466.95