Finding the Fourth Proportional to 9,354.24, 12,910.52 and 5,577.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,354.24 : 12,910.52 = 5,577.65 : x
2. Step 2: Convert to fraction form
   9,354.24/12,910.52 = 5,577.65/x
3. Step 3: Cross multiply
   9,354.24x = 12,910.52 × 5,577.65
4. Step 4: Simplify right side
   9,354.24x = 72,010,366.27
5. Step 5: Solve for x
   x = 72,010,366.27/9,354.24
6. Step 6: Final answer
   x = 7,698.15