Finding the Fourth Proportional to 2,642.29, 3,646.31 and 1,463.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.29 : 3,646.31 = 1,463.37 : x
2. Step 2: Convert to fraction form
   2,642.29/3,646.31 = 1,463.37/x
3. Step 3: Cross multiply
   2,642.29x = 3,646.31 × 1,463.37
4. Step 4: Simplify right side
   2,642.29x = 5,335,900.66
5. Step 5: Solve for x
   x = 5,335,900.66/2,642.29
6. Step 6: Final answer
   x = 2,019.42