Finding the Fourth Proportional to 2,642.69, 3,646.88 and 1,463.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.69 : 3,646.88 = 1,463.78 : x
2. Step 2: Convert to fraction form
   2,642.69/3,646.88 = 1,463.78/x
3. Step 3: Cross multiply
   2,642.69x = 3,646.88 × 1,463.78
4. Step 4: Simplify right side
   2,642.69x = 5,338,230.01
5. Step 5: Solve for x
   x = 5,338,230.01/2,642.69
6. Step 6: Final answer
   x = 2,020.00