Finding the Fourth Proportional to 2,642.00, 3,645.97 and 1,463.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.00 : 3,645.97 = 1,463.05 : x
2. Step 2: Convert to fraction form
   2,642.00/3,645.97 = 1,463.05/x
3. Step 3: Cross multiply
   2,642.00x = 3,645.97 × 1,463.05
4. Step 4: Simplify right side
   2,642.00x = 5,334,223.64
5. Step 5: Solve for x
   x = 5,334,223.64/2,642.00
6. Step 6: Final answer
   x = 2,019.01