Finding the Fourth Proportional to 9,354.83, 12,908.57 and 5,578.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,354.83 : 12,908.57 = 5,578.20 : x
2. Step 2: Convert to fraction form
   9,354.83/12,908.57 = 5,578.20/x
3. Step 3: Cross multiply
   9,354.83x = 12,908.57 × 5,578.20
4. Step 4: Simplify right side
   9,354.83x = 72,006,557.28
5. Step 5: Solve for x
   x = 72,006,557.28/9,354.83
6. Step 6: Final answer
   x = 7,697.26