Finding the Fourth Proportional to 8,116.10, 12,165.15 and 3,184.10

Step by Step Solution

1. Step 1: Write the proportion equation
   8,116.10 : 12,165.15 = 3,184.10 : x
2. Step 2: Convert to fraction form
   8,116.10/12,165.15 = 3,184.10/x
3. Step 3: Cross multiply
   8,116.10x = 12,165.15 × 3,184.10
4. Step 4: Simplify right side
   8,116.10x = 38,735,054.12
5. Step 5: Solve for x
   x = 38,735,054.12/8,116.10
6. Step 6: Final answer
   x = 4,772.62