Finding the Fourth Proportional to 8,112.37, 12,170.72 and 2,565.82

Step by Step Solution

1. Step 1: Write the proportion equation
   8,112.37 : 12,170.72 = 2,565.82 : x
2. Step 2: Convert to fraction form
   8,112.37/12,170.72 = 2,565.82/x
3. Step 3: Cross multiply
   8,112.37x = 12,170.72 × 2,565.82
4. Step 4: Simplify right side
   8,112.37x = 31,227,876.79
5. Step 5: Solve for x
   x = 31,227,876.79/8,112.37
6. Step 6: Final answer
   x = 3,849.41