Finding the Fourth Proportional to 8,111.91, 12,164.22 and 2,564.22

Step by Step Solution

1. Step 1: Write the proportion equation
   8,111.91 : 12,164.22 = 2,564.22 : x
2. Step 2: Convert to fraction form
   8,111.91/12,164.22 = 2,564.22/x
3. Step 3: Cross multiply
   8,111.91x = 12,164.22 × 2,564.22
4. Step 4: Simplify right side
   8,111.91x = 31,191,736.21
5. Step 5: Solve for x
   x = 31,191,736.21/8,111.91
6. Step 6: Final answer
   x = 3,845.18