Finding the Fourth Proportional to 2,640.69, 3,644.12 and 1,461.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,640.69 : 3,644.12 = 1,461.78 : x
2. Step 2: Convert to fraction form
   2,640.69/3,644.12 = 1,461.78/x
3. Step 3: Cross multiply
   2,640.69x = 3,644.12 × 1,461.78
4. Step 4: Simplify right side
   2,640.69x = 5,326,905.39
5. Step 5: Solve for x
   x = 5,326,905.39/2,640.69
6. Step 6: Final answer
   x = 2,017.24