Finding the Fourth Proportional to 2,642.49, 3,646.61 and 1,463.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.49 : 3,646.61 = 1,463.55 : x
2. Step 2: Convert to fraction form
   2,642.49/3,646.61 = 1,463.55/x
3. Step 3: Cross multiply
   2,642.49x = 3,646.61 × 1,463.55
4. Step 4: Simplify right side
   2,642.49x = 5,336,988.75
5. Step 5: Solve for x
   x = 5,336,988.75/2,642.49
6. Step 6: Final answer
   x = 2,019.68