Finding the Fourth Proportional to 2,642.30, 3,646.33 and 1,463.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.30 : 3,646.33 = 1,463.39 : x
2. Step 2: Convert to fraction form
   2,642.30/3,646.33 = 1,463.39/x
3. Step 3: Cross multiply
   2,642.30x = 3,646.33 × 1,463.39
4. Step 4: Simplify right side
   2,642.30x = 5,335,994.64
5. Step 5: Solve for x
   x = 5,335,994.64/2,642.30
6. Step 6: Final answer
   x = 2,019.45