Finding the Fourth Proportional to 8,116.34, 12,165.60 and 3,185.06

Step by Step Solution

1. Step 1: Write the proportion equation
   8,116.34 : 12,165.60 = 3,185.06 : x
2. Step 2: Convert to fraction form
   8,116.34/12,165.60 = 3,185.06/x
3. Step 3: Cross multiply
   8,116.34x = 12,165.60 × 3,185.06
4. Step 4: Simplify right side
   8,116.34x = 38,748,165.94
5. Step 5: Solve for x
   x = 38,748,165.94/8,116.34
6. Step 6: Final answer
   x = 4,774.09