Finding the Fourth Proportional to 2,641.74, 3,645.57 and 1,462.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.74 : 3,645.57 = 1,462.80 : x
2. Step 2: Convert to fraction form
   2,641.74/3,645.57 = 1,462.80/x
3. Step 3: Cross multiply
   2,641.74x = 3,645.57 × 1,462.80
4. Step 4: Simplify right side
   2,641.74x = 5,332,739.80
5. Step 5: Solve for x
   x = 5,332,739.80/2,641.74
6. Step 6: Final answer
   x = 2,018.65