Finding the Fourth Proportional to 2,642.86, 3,646.91 and 1,463.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.86 : 3,646.91 = 1,463.62 : x
2. Step 2: Convert to fraction form
   2,642.86/3,646.91 = 1,463.62/x
3. Step 3: Cross multiply
   2,642.86x = 3,646.91 × 1,463.62
4. Step 4: Simplify right side
   2,642.86x = 5,337,690.41
5. Step 5: Solve for x
   x = 5,337,690.41/2,642.86
6. Step 6: Final answer
   x = 2,019.66