Finding the Fourth Proportional to 2,641.69, 3,645.50 and 1,462.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.69 : 3,645.50 = 1,462.78 : x
2. Step 2: Convert to fraction form
   2,641.69/3,645.50 = 1,462.78/x
3. Step 3: Cross multiply
   2,641.69x = 3,645.50 × 1,462.78
4. Step 4: Simplify right side
   2,641.69x = 5,332,564.49
5. Step 5: Solve for x
   x = 5,332,564.49/2,641.69
6. Step 6: Final answer
   x = 2,018.62