Finding the Fourth Proportional to 6,456.55, 9,675.59 and 3,677.49

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.55 : 9,675.59 = 3,677.49 : x
2. Step 2: Convert to fraction form
   6,456.55/9,675.59 = 3,677.49/x
3. Step 3: Cross multiply
   6,456.55x = 9,675.59 × 3,677.49
4. Step 4: Simplify right side
   6,456.55x = 35,581,885.47
5. Step 5: Solve for x
   x = 35,581,885.47/6,456.55
6. Step 6: Final answer
   x = 5,510.97