Finding the Fourth Proportional to 2,560.14, 3,842.37 and 1,022.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.14 : 3,842.37 = 1,022.22 : x
2. Step 2: Convert to fraction form
   2,560.14/3,842.37 = 1,022.22/x
3. Step 3: Cross multiply
   2,560.14x = 3,842.37 × 1,022.22
4. Step 4: Simplify right side
   2,560.14x = 3,927,747.46
5. Step 5: Solve for x
   x = 3,927,747.46/2,560.14
6. Step 6: Final answer
   x = 1,534.19