Finding the Fourth Proportional to 8,111.76, 12,167.34 and 2,565.46

Step by Step Solution

1. Step 1: Write the proportion equation
   8,111.76 : 12,167.34 = 2,565.46 : x
2. Step 2: Convert to fraction form
   8,111.76/12,167.34 = 2,565.46/x
3. Step 3: Cross multiply
   8,111.76x = 12,167.34 × 2,565.46
4. Step 4: Simplify right side
   8,111.76x = 31,214,824.08
5. Step 5: Solve for x
   x = 31,214,824.08/8,111.76
6. Step 6: Final answer
   x = 3,848.10