Finding the Fourth Proportional to 2,642.16, 3,646.04 and 1,463.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.16 : 3,646.04 = 1,463.20 : x
2. Step 2: Convert to fraction form
   2,642.16/3,646.04 = 1,463.20/x
3. Step 3: Cross multiply
   2,642.16x = 3,646.04 × 1,463.20
4. Step 4: Simplify right side
   2,642.16x = 5,334,885.73
5. Step 5: Solve for x
   x = 5,334,885.73/2,642.16
6. Step 6: Final answer
   x = 2,019.14