Finding the Fourth Proportional to 8,549.12, 12,830.12 and 5,769.20

Step by Step Solution

1. Step 1: Write the proportion equation
   8,549.12 : 12,830.12 = 5,769.20 : x
2. Step 2: Convert to fraction form
   8,549.12/12,830.12 = 5,769.20/x
3. Step 3: Cross multiply
   8,549.12x = 12,830.12 × 5,769.20
4. Step 4: Simplify right side
   8,549.12x = 74,019,528.30
5. Step 5: Solve for x
   x = 74,019,528.30/8,549.12
6. Step 6: Final answer
   x = 8,658.15