Finding the Fourth Proportional to 2,642.78, 3,646.91 and 1,463.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.78 : 3,646.91 = 1,463.83 : x
2. Step 2: Convert to fraction form
   2,642.78/3,646.91 = 1,463.83/x
3. Step 3: Cross multiply
   2,642.78x = 3,646.91 × 1,463.83
4. Step 4: Simplify right side
   2,642.78x = 5,338,456.27
5. Step 5: Solve for x
   x = 5,338,456.27/2,642.78
6. Step 6: Final answer
   x = 2,020.02