Finding the Fourth Proportional to 8,111.42, 12,166.48 and 2,564.92

Step by Step Solution

1. Step 1: Write the proportion equation
   8,111.42 : 12,166.48 = 2,564.92 : x
2. Step 2: Convert to fraction form
   8,111.42/12,166.48 = 2,564.92/x
3. Step 3: Cross multiply
   8,111.42x = 12,166.48 × 2,564.92
4. Step 4: Simplify right side
   8,111.42x = 31,206,047.88
5. Step 5: Solve for x
   x = 31,206,047.88/8,111.42
6. Step 6: Final answer
   x = 3,847.17