Finding the Fourth Proportional to 2,642.42, 3,646.57 and 1,463.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.42 : 3,646.57 = 1,463.48 : x
2. Step 2: Convert to fraction form
   2,642.42/3,646.57 = 1,463.48/x
3. Step 3: Cross multiply
   2,642.42x = 3,646.57 × 1,463.48
4. Step 4: Simplify right side
   2,642.42x = 5,336,697.30
5. Step 5: Solve for x
   x = 5,336,697.30/2,642.42
6. Step 6: Final answer
   x = 2,019.62