Finding the Fourth Proportional to 9,502.29, 13,108.77 and 5,522.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,502.29 : 13,108.77 = 5,522.64 : x
2. Step 2: Convert to fraction form
   9,502.29/13,108.77 = 5,522.64/x
3. Step 3: Cross multiply
   9,502.29x = 13,108.77 × 5,522.64
4. Step 4: Simplify right side
   9,502.29x = 72,395,017.55
5. Step 5: Solve for x
   x = 72,395,017.55/9,502.29
6. Step 6: Final answer
   x = 7,618.69