Finding the Fourth Proportional to 9,658.56, 13,327.84 and 5,466.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658.56 : 13,327.84 = 5,466.08 : x
2. Step 2: Convert to fraction form
   9,658.56/13,327.84 = 5,466.08/x
3. Step 3: Cross multiply
   9,658.56x = 13,327.84 × 5,466.08
4. Step 4: Simplify right side
   9,658.56x = 72,851,039.67
5. Step 5: Solve for x
   x = 72,851,039.67/9,658.56
6. Step 6: Final answer
   x = 7,542.64