Finding the Fourth Proportional to 2,642.53, 3,646.72 and 1,463.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.53 : 3,646.72 = 1,463.67 : x
2. Step 2: Convert to fraction form
   2,642.53/3,646.72 = 1,463.67/x
3. Step 3: Cross multiply
   2,642.53x = 3,646.72 × 1,463.67
4. Step 4: Simplify right side
   2,642.53x = 5,337,594.66
5. Step 5: Solve for x
   x = 5,337,594.66/2,642.53
6. Step 6: Final answer
   x = 2,019.88