Finding the Fourth Proportional to 8,146.78, 12,213.33 and 5,674.30

Step by Step Solution

1. Step 1: Write the proportion equation
   8,146.78 : 12,213.33 = 5,674.30 : x
2. Step 2: Convert to fraction form
   8,146.78/12,213.33 = 5,674.30/x
3. Step 3: Cross multiply
   8,146.78x = 12,213.33 × 5,674.30
4. Step 4: Simplify right side
   8,146.78x = 69,302,098.42
5. Step 5: Solve for x
   x = 69,302,098.42/8,146.78
6. Step 6: Final answer
   x = 8,506.69