Finding the Fourth Proportional to 9,354.89, 12,909.89 and 5,580.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,354.89 : 12,909.89 = 5,580.23 : x
2. Step 2: Convert to fraction form
   9,354.89/12,909.89 = 5,580.23/x
3. Step 3: Cross multiply
   9,354.89x = 12,909.89 × 5,580.23
4. Step 4: Simplify right side
   9,354.89x = 72,040,104.88
5. Step 5: Solve for x
   x = 72,040,104.88/9,354.89
6. Step 6: Final answer
   x = 7,700.79