Finding the Fourth Proportional to 2,642.65, 3,646.91 and 1,463.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.65 : 3,646.91 = 1,463.72 : x
2. Step 2: Convert to fraction form
   2,642.65/3,646.91 = 1,463.72/x
3. Step 3: Cross multiply
   2,642.65x = 3,646.91 × 1,463.72
4. Step 4: Simplify right side
   2,642.65x = 5,338,052.38
5. Step 5: Solve for x
   x = 5,338,052.38/2,642.65
6. Step 6: Final answer
   x = 2,019.96