Finding the Fourth Proportional to 2,642.24, 3,646.15 and 1,463.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.24 : 3,646.15 = 1,463.24 : x
2. Step 2: Convert to fraction form
   2,642.24/3,646.15 = 1,463.24/x
3. Step 3: Cross multiply
   2,642.24x = 3,646.15 × 1,463.24
4. Step 4: Simplify right side
   2,642.24x = 5,335,166.98
5. Step 5: Solve for x
   x = 5,335,166.98/2,642.24
6. Step 6: Final answer
   x = 2,019.18