Finding the Fourth Proportional to 2,561.96, 3,840.78 and 1,022.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.96 : 3,840.78 = 1,022.12 : x
2. Step 2: Convert to fraction form
   2,561.96/3,840.78 = 1,022.12/x
3. Step 3: Cross multiply
   2,561.96x = 3,840.78 × 1,022.12
4. Step 4: Simplify right side
   2,561.96x = 3,925,738.05
5. Step 5: Solve for x
   x = 3,925,738.05/2,561.96
6. Step 6: Final answer
   x = 1,532.32