Finding the Fourth Proportional to 2,641.71, 3,645.68 and 1,462.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.71 : 3,645.68 = 1,462.78 : x
2. Step 2: Convert to fraction form
   2,641.71/3,645.68 = 1,462.78/x
3. Step 3: Cross multiply
   2,641.71x = 3,645.68 × 1,462.78
4. Step 4: Simplify right side
   2,641.71x = 5,332,847.63
5. Step 5: Solve for x
   x = 5,332,847.63/2,641.71
6. Step 6: Final answer
   x = 2,018.71