Finding the Fourth Proportional to 2,642.23, 3,646.31 and 1,463.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.23 : 3,646.31 = 1,463.30 : x
2. Step 2: Convert to fraction form
   2,642.23/3,646.31 = 1,463.30/x
3. Step 3: Cross multiply
   2,642.23x = 3,646.31 × 1,463.30
4. Step 4: Simplify right side
   2,642.23x = 5,335,630.85
5. Step 5: Solve for x
   x = 5,335,630.85/2,642.23
6. Step 6: Final answer
   x = 2,019.37