Finding the Fourth Proportional to 2,642.45, 3,646.56 and 1,463.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.45 : 3,646.56 = 1,463.52 : x
2. Step 2: Convert to fraction form
   2,642.45/3,646.56 = 1,463.52/x
3. Step 3: Cross multiply
   2,642.45x = 3,646.56 × 1,463.52
4. Step 4: Simplify right side
   2,642.45x = 5,336,813.49
5. Step 5: Solve for x
   x = 5,336,813.49/2,642.45
6. Step 6: Final answer
   x = 2,019.65