Finding the Fourth Proportional to 2,823.50, 3,896.55 and 1,644.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,823.50 : 3,896.55 = 1,644.38 : x
2. Step 2: Convert to fraction form
   2,823.50/3,896.55 = 1,644.38/x
3. Step 3: Cross multiply
   2,823.50x = 3,896.55 × 1,644.38
4. Step 4: Simplify right side
   2,823.50x = 6,407,408.89
5. Step 5: Solve for x
   x = 6,407,408.89/2,823.50
6. Step 6: Final answer
   x = 2,269.31