Finding the Fourth Proportional to 2,642.49, 3,646.71 and 1,463.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.49 : 3,646.71 = 1,463.67 : x
2. Step 2: Convert to fraction form
   2,642.49/3,646.71 = 1,463.67/x
3. Step 3: Cross multiply
   2,642.49x = 3,646.71 × 1,463.67
4. Step 4: Simplify right side
   2,642.49x = 5,337,580.03
5. Step 5: Solve for x
   x = 5,337,580.03/2,642.49
6. Step 6: Final answer
   x = 2,019.91