Finding the Fourth Proportional to 2,642.57, 3,646.74 and 1,463.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.57 : 3,646.74 = 1,463.72 : x
2. Step 2: Convert to fraction form
   2,642.57/3,646.74 = 1,463.72/x
3. Step 3: Cross multiply
   2,642.57x = 3,646.74 × 1,463.72
4. Step 4: Simplify right side
   2,642.57x = 5,337,806.27
5. Step 5: Solve for x
   x = 5,337,806.27/2,642.57
6. Step 6: Final answer
   x = 2,019.93