Finding the Fourth Proportional to 2,822.27, 3,892.32 and 2,231.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,822.27 : 3,892.32 = 2,231.78 : x
2. Step 2: Convert to fraction form
   2,822.27/3,892.32 = 2,231.78/x
3. Step 3: Cross multiply
   2,822.27x = 3,892.32 × 2,231.78
4. Step 4: Simplify right side
   2,822.27x = 8,686,782.47
5. Step 5: Solve for x
   x = 8,686,782.47/2,822.27
6. Step 6: Final answer
   x = 3,077.95