Finding the Fourth Proportional to 9,613.62, 13,266.54 and 5,580.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,613.62 : 13,266.54 = 5,580.90 : x
2. Step 2: Convert to fraction form
   9,613.62/13,266.54 = 5,580.90/x
3. Step 3: Cross multiply
   9,613.62x = 13,266.54 × 5,580.90
4. Step 4: Simplify right side
   9,613.62x = 74,039,233.09
5. Step 5: Solve for x
   x = 74,039,233.09/9,613.62
6. Step 6: Final answer
   x = 7,701.49