Finding the Fourth Proportional to 2,641.87, 3,645.46 and 1,462.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.87 : 3,645.46 = 1,462.86 : x
2. Step 2: Convert to fraction form
   2,641.87/3,645.46 = 1,462.86/x
3. Step 3: Cross multiply
   2,641.87x = 3,645.46 × 1,462.86
4. Step 4: Simplify right side
   2,641.87x = 5,332,791.22
5. Step 5: Solve for x
   x = 5,332,791.22/2,641.87
6. Step 6: Final answer
   x = 2,018.57