Finding the Fourth Proportional to 3,678.24, 5,075.76 and 2,022.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.24 : 5,075.76 = 2,022.24 : x
2. Step 2: Convert to fraction form
   3,678.24/5,075.76 = 2,022.24/x
3. Step 3: Cross multiply
   3,678.24x = 5,075.76 × 2,022.24
4. Step 4: Simplify right side
   3,678.24x = 10,264,404.90
5. Step 5: Solve for x
   x = 10,264,404.90/3,678.24
6. Step 6: Final answer
   x = 2,790.58