Finding the Fourth Proportional to 9,182.12, 12,672.18 and 5,149.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182.12 : 12,672.18 = 5,149.62 : x
2. Step 2: Convert to fraction form
   9,182.12/12,672.18 = 5,149.62/x
3. Step 3: Cross multiply
   9,182.12x = 12,672.18 × 5,149.62
4. Step 4: Simplify right side
   9,182.12x = 65,256,911.57
5. Step 5: Solve for x
   x = 65,256,911.57/9,182.12
6. Step 6: Final answer
   x = 7,106.96