Finding the Fourth Proportional to 2,640.78, 3,644.27 and 1,461.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,640.78 : 3,644.27 = 1,461.85 : x
2. Step 2: Convert to fraction form
   2,640.78/3,644.27 = 1,461.85/x
3. Step 3: Cross multiply
   2,640.78x = 3,644.27 × 1,461.85
4. Step 4: Simplify right side
   2,640.78x = 5,327,376.10
5. Step 5: Solve for x
   x = 5,327,376.10/2,640.78
6. Step 6: Final answer
   x = 2,017.35