Finding the Fourth Proportional to 2,640.96, 3,644.56 and 1,462.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,640.96 : 3,644.56 = 1,462.08 : x
2. Step 2: Convert to fraction form
   2,640.96/3,644.56 = 1,462.08/x
3. Step 3: Cross multiply
   2,640.96x = 3,644.56 × 1,462.08
4. Step 4: Simplify right side
   2,640.96x = 5,328,638.28
5. Step 5: Solve for x
   x = 5,328,638.28/2,640.96
6. Step 6: Final answer
   x = 2,017.69