Finding the Fourth Proportional to 2,641.08, 3,644.52 and 1,462.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.08 : 3,644.52 = 1,462.14 : x
2. Step 2: Convert to fraction form
   2,641.08/3,644.52 = 1,462.14/x
3. Step 3: Cross multiply
   2,641.08x = 3,644.52 × 1,462.14
4. Step 4: Simplify right side
   2,641.08x = 5,328,798.47
5. Step 5: Solve for x
   x = 5,328,798.47/2,641.08
6. Step 6: Final answer
   x = 2,017.66