Finding the Fourth Proportional to 2,582.51, 3,874.61 and 1,022.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.51 : 3,874.61 = 1,022.94 : x
2. Step 2: Convert to fraction form
   2,582.51/3,874.61 = 1,022.94/x
3. Step 3: Cross multiply
   2,582.51x = 3,874.61 × 1,022.94
4. Step 4: Simplify right side
   2,582.51x = 3,963,488.44
5. Step 5: Solve for x
   x = 3,963,488.44/2,582.51
6. Step 6: Final answer
   x = 1,534.75