Finding the Fourth Proportional to 2,075.76, 2,864.53 and 1,144.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.76 : 2,864.53 = 1,144.26 : x
2. Step 2: Convert to fraction form
   2,075.76/2,864.53 = 1,144.26/x
3. Step 3: Cross multiply
   2,075.76x = 2,864.53 × 1,144.26
4. Step 4: Simplify right side
   2,075.76x = 3,277,767.10
5. Step 5: Solve for x
   x = 3,277,767.10/2,075.76
6. Step 6: Final answer
   x = 1,579.07