Finding the Fourth Proportional to 2,642.75, 3,647.11 and 1,463.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.75 : 3,647.11 = 1,463.83 : x
2. Step 2: Convert to fraction form
   2,642.75/3,647.11 = 1,463.83/x
3. Step 3: Cross multiply
   2,642.75x = 3,647.11 × 1,463.83
4. Step 4: Simplify right side
   2,642.75x = 5,338,730.80
5. Step 5: Solve for x
   x = 5,338,730.80/2,642.75
6. Step 6: Final answer
   x = 2,020.14