Finding the Fourth Proportional to 2,641.49, 3,644.96 and 1,462.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.49 : 3,644.96 = 1,462.26 : x
2. Step 2: Convert to fraction form
   2,641.49/3,644.96 = 1,462.26/x
3. Step 3: Cross multiply
   2,641.49x = 3,644.96 × 1,462.26
4. Step 4: Simplify right side
   2,641.49x = 5,329,871.90
5. Step 5: Solve for x
   x = 5,329,871.90/2,641.49
6. Step 6: Final answer
   x = 2,017.76