Finding the Fourth Proportional to 6,642.34, 9,166.59 and 3,658.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,642.34 : 9,166.59 = 3,658.27 : x
2. Step 2: Convert to fraction form
   6,642.34/9,166.59 = 3,658.27/x
3. Step 3: Cross multiply
   6,642.34x = 9,166.59 × 3,658.27
4. Step 4: Simplify right side
   6,642.34x = 33,533,861.20
5. Step 5: Solve for x
   x = 33,533,861.20/6,642.34
6. Step 6: Final answer
   x = 5,048.50