Finding the Fourth Proportional to 2,642.27, 3,646.13 and 1,463.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.27 : 3,646.13 = 1,463.31 : x
2. Step 2: Convert to fraction form
   2,642.27/3,646.13 = 1,463.31/x
3. Step 3: Cross multiply
   2,642.27x = 3,646.13 × 1,463.31
4. Step 4: Simplify right side
   2,642.27x = 5,335,411.17
5. Step 5: Solve for x
   x = 5,335,411.17/2,642.27
6. Step 6: Final answer
   x = 2,019.26