Finding the Fourth Proportional to 2,562.56, 3,840.96 and 1,022.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.56 : 3,840.96 = 1,022.08 : x
2. Step 2: Convert to fraction form
   2,562.56/3,840.96 = 1,022.08/x
3. Step 3: Cross multiply
   2,562.56x = 3,840.96 × 1,022.08
4. Step 4: Simplify right side
   2,562.56x = 3,925,768.40
5. Step 5: Solve for x
   x = 3,925,768.40/2,562.56
6. Step 6: Final answer
   x = 1,531.97