Finding the Fourth Proportional to 2,075, 2,863.50 and 1,143.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075 : 2,863.50 = 1,143.50 : x
2. Step 2: Convert to fraction form
   2,075/2,863.50 = 1,143.50/x
3. Step 3: Cross multiply
   2,075x = 2,863.50 × 1,143.50
4. Step 4: Simplify right side
   2,075x = 3,274,412.25
5. Step 5: Solve for x
   x = 3,274,412.25/2,075
6. Step 6: Final answer
   x = 1,578.03