Finding the Fourth Proportional to 8,111.31, 12,169.13 and 2,564.76

Step by Step Solution

1. Step 1: Write the proportion equation
   8,111.31 : 12,169.13 = 2,564.76 : x
2. Step 2: Convert to fraction form
   8,111.31/12,169.13 = 2,564.76/x
3. Step 3: Cross multiply
   8,111.31x = 12,169.13 × 2,564.76
4. Step 4: Simplify right side
   8,111.31x = 31,210,885.04
5. Step 5: Solve for x
   x = 31,210,885.04/8,111.31
6. Step 6: Final answer
   x = 3,847.82