Finding the Fourth Proportional to 6,491.49, 8,957.61 and 3,658.80

Step by Step Solution

1. Step 1: Write the proportion equation
   6,491.49 : 8,957.61 = 3,658.80 : x
2. Step 2: Convert to fraction form
   6,491.49/8,957.61 = 3,658.80/x
3. Step 3: Cross multiply
   6,491.49x = 8,957.61 × 3,658.80
4. Step 4: Simplify right side
   6,491.49x = 32,774,103.47
5. Step 5: Solve for x
   x = 32,774,103.47/6,491.49
6. Step 6: Final answer
   x = 5,048.78