Finding the Fourth Proportional to 8,114.42, 12,166.38 and 3,184.55

Step by Step Solution

1. Step 1: Write the proportion equation
   8,114.42 : 12,166.38 = 3,184.55 : x
2. Step 2: Convert to fraction form
   8,114.42/12,166.38 = 3,184.55/x
3. Step 3: Cross multiply
   8,114.42x = 12,166.38 × 3,184.55
4. Step 4: Simplify right side
   8,114.42x = 38,744,445.43
5. Step 5: Solve for x
   x = 38,744,445.43/8,114.42
6. Step 6: Final answer
   x = 4,774.76