Finding the Fourth Proportional to 2,569.50, 3,545.91 and 1,638.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.50 : 3,545.91 = 1,638.54 : x
2. Step 2: Convert to fraction form
   2,569.50/3,545.91 = 1,638.54/x
3. Step 3: Cross multiply
   2,569.50x = 3,545.91 × 1,638.54
4. Step 4: Simplify right side
   2,569.50x = 5,810,115.37
5. Step 5: Solve for x
   x = 5,810,115.37/2,569.50
6. Step 6: Final answer
   x = 2,261.19