Finding the Fourth Proportional to 2,642.71, 3,647.06 and 1,463.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.71 : 3,647.06 = 1,463.78 : x
2. Step 2: Convert to fraction form
   2,642.71/3,647.06 = 1,463.78/x
3. Step 3: Cross multiply
   2,642.71x = 3,647.06 × 1,463.78
4. Step 4: Simplify right side
   2,642.71x = 5,338,493.49
5. Step 5: Solve for x
   x = 5,338,493.49/2,642.71
6. Step 6: Final answer
   x = 2,020.08