Finding the Fourth Proportional to 2,583.27, 3,875.31 and 1,022.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.27 : 3,875.31 = 1,022.49 : x
2. Step 2: Convert to fraction form
   2,583.27/3,875.31 = 1,022.49/x
3. Step 3: Cross multiply
   2,583.27x = 3,875.31 × 1,022.49
4. Step 4: Simplify right side
   2,583.27x = 3,962,465.72
5. Step 5: Solve for x
   x = 3,962,465.72/2,583.27
6. Step 6: Final answer
   x = 1,533.90