Finding the Fourth Proportional to 2,075.50, 2,864.25 and 1,144.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.50 : 2,864.25 = 1,144.06 : x
2. Step 2: Convert to fraction form
   2,075.50/2,864.25 = 1,144.06/x
3. Step 3: Cross multiply
   2,075.50x = 2,864.25 × 1,144.06
4. Step 4: Simplify right side
   2,075.50x = 3,276,873.86
5. Step 5: Solve for x
   x = 3,276,873.86/2,075.50
6. Step 6: Final answer
   x = 1,578.84