Finding the Fourth Proportional to 2,075.52, 2,864.20 and 1,144

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.52 : 2,864.20 = 1,144 : x
2. Step 2: Convert to fraction form
   2,075.52/2,864.20 = 1,144/x
3. Step 3: Cross multiply
   2,075.52x = 2,864.20 × 1,144
4. Step 4: Simplify right side
   2,075.52x = 3,276,644.80
5. Step 5: Solve for x
   x = 3,276,644.80/2,075.52
6. Step 6: Final answer
   x = 1,578.71