Finding the Fourth Proportional to 8,111.49, 12,166.18 and 2,565.39

Step by Step Solution

1. Step 1: Write the proportion equation
   8,111.49 : 12,166.18 = 2,565.39 : x
2. Step 2: Convert to fraction form
   8,111.49/12,166.18 = 2,565.39/x
3. Step 3: Cross multiply
   8,111.49x = 12,166.18 × 2,565.39
4. Step 4: Simplify right side
   8,111.49x = 31,210,996.51
5. Step 5: Solve for x
   x = 31,210,996.51/8,111.49
6. Step 6: Final answer
   x = 3,847.75