Finding the Fourth Proportional to 2,642.31, 3,646.23 and 1,463.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.31 : 3,646.23 = 1,463.30 : x
2. Step 2: Convert to fraction form
   2,642.31/3,646.23 = 1,463.30/x
3. Step 3: Cross multiply
   2,642.31x = 3,646.23 × 1,463.30
4. Step 4: Simplify right side
   2,642.31x = 5,335,510.13
5. Step 5: Solve for x
   x = 5,335,510.13/2,642.31
6. Step 6: Final answer
   x = 2,019.26