Finding the Fourth Proportional to 2,642.55, 3,646.58 and 1,463.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.55 : 3,646.58 = 1,463.55 : x
2. Step 2: Convert to fraction form
   2,642.55/3,646.58 = 1,463.55/x
3. Step 3: Cross multiply
   2,642.55x = 3,646.58 × 1,463.55
4. Step 4: Simplify right side
   2,642.55x = 5,336,952.16
5. Step 5: Solve for x
   x = 5,336,952.16/2,642.55
6. Step 6: Final answer
   x = 2,019.62