Finding the Fourth Proportional to 2,642.56, 3,646.73 and 1,463.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.56 : 3,646.73 = 1,463.63 : x
2. Step 2: Convert to fraction form
   2,642.56/3,646.73 = 1,463.63/x
3. Step 3: Cross multiply
   2,642.56x = 3,646.73 × 1,463.63
4. Step 4: Simplify right side
   2,642.56x = 5,337,448.86
5. Step 5: Solve for x
   x = 5,337,448.86/2,642.56
6. Step 6: Final answer
   x = 2,019.80