Finding the Fourth Proportional to 2,822.82, 3,895.89 and 1,644.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,822.82 : 3,895.89 = 1,644.27 : x
2. Step 2: Convert to fraction form
   2,822.82/3,895.89 = 1,644.27/x
3. Step 3: Cross multiply
   2,822.82x = 3,895.89 × 1,644.27
4. Step 4: Simplify right side
   2,822.82x = 6,405,895.05
5. Step 5: Solve for x
   x = 6,405,895.05/2,822.82
6. Step 6: Final answer
   x = 2,269.32