Finding the Fourth Proportional to 8,111.37, 12,166.97 and 2,564.71

Step by Step Solution

1. Step 1: Write the proportion equation
   8,111.37 : 12,166.97 = 2,564.71 : x
2. Step 2: Convert to fraction form
   8,111.37/12,166.97 = 2,564.71/x
3. Step 3: Cross multiply
   8,111.37x = 12,166.97 × 2,564.71
4. Step 4: Simplify right side
   8,111.37x = 31,204,771.25
5. Step 5: Solve for x
   x = 31,204,771.25/8,111.37
6. Step 6: Final answer
   x = 3,847.04