Finding the Fourth Proportional to 2,641.42, 3,644.85 and 1,462.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.42 : 3,644.85 = 1,462.42 : x
2. Step 2: Convert to fraction form
   2,641.42/3,644.85 = 1,462.42/x
3. Step 3: Cross multiply
   2,641.42x = 3,644.85 × 1,462.42
4. Step 4: Simplify right side
   2,641.42x = 5,330,301.54
5. Step 5: Solve for x
   x = 5,330,301.54/2,641.42
6. Step 6: Final answer
   x = 2,017.97