Finding the Fourth Proportional to 2,642.82, 3,646.87 and 1,463.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.82 : 3,646.87 = 1,463.77 : x
2. Step 2: Convert to fraction form
   2,642.82/3,646.87 = 1,463.77/x
3. Step 3: Cross multiply
   2,642.82x = 3,646.87 × 1,463.77
4. Step 4: Simplify right side
   2,642.82x = 5,338,178.90
5. Step 5: Solve for x
   x = 5,338,178.90/2,642.82
6. Step 6: Final answer
   x = 2,019.88