Finding the Fourth Proportional to 9,658.34, 13,327.62 and 5,466.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658.34 : 13,327.62 = 5,466.59 : x
2. Step 2: Convert to fraction form
   9,658.34/13,327.62 = 5,466.59/x
3. Step 3: Cross multiply
   9,658.34x = 13,327.62 × 5,466.59
4. Step 4: Simplify right side
   9,658.34x = 72,856,647.04
5. Step 5: Solve for x
   x = 72,856,647.04/9,658.34
6. Step 6: Final answer
   x = 7,543.39