Finding the Fourth Proportional to 2,075.60, 2,864.24 and 1,144

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.60 : 2,864.24 = 1,144 : x
2. Step 2: Convert to fraction form
   2,075.60/2,864.24 = 1,144/x
3. Step 3: Cross multiply
   2,075.60x = 2,864.24 × 1,144
4. Step 4: Simplify right side
   2,075.60x = 3,276,690.56
5. Step 5: Solve for x
   x = 3,276,690.56/2,075.60
6. Step 6: Final answer
   x = 1,578.67