Finding the Fourth Proportional to 2,642.72, 3,646.87 and 1,463.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.72 : 3,646.87 = 1,463.76 : x
2. Step 2: Convert to fraction form
   2,642.72/3,646.87 = 1,463.76/x
3. Step 3: Cross multiply
   2,642.72x = 3,646.87 × 1,463.76
4. Step 4: Simplify right side
   2,642.72x = 5,338,138.77
5. Step 5: Solve for x
   x = 5,338,138.77/2,642.72
6. Step 6: Final answer
   x = 2,019.94