Finding the Fourth Proportional to 2,642.72, 3,646.64 and 1,463.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.72 : 3,646.64 = 1,463.77 : x
2. Step 2: Convert to fraction form
   2,642.72/3,646.64 = 1,463.77/x
3. Step 3: Cross multiply
   2,642.72x = 3,646.64 × 1,463.77
4. Step 4: Simplify right side
   2,642.72x = 5,337,816.68
5. Step 5: Solve for x
   x = 5,337,816.68/2,642.72
6. Step 6: Final answer
   x = 2,019.82