Finding the Fourth Proportional to 2,642.47, 3,646.67 and 1,463.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.47 : 3,646.67 = 1,463.62 : x
2. Step 2: Convert to fraction form
   2,642.47/3,646.67 = 1,463.62/x
3. Step 3: Cross multiply
   2,642.47x = 3,646.67 × 1,463.62
4. Step 4: Simplify right side
   2,642.47x = 5,337,339.15
5. Step 5: Solve for x
   x = 5,337,339.15/2,642.47
6. Step 6: Final answer
   x = 2,019.83