Finding the Fourth Proportional to 2,535.78, 3,802.05 and 1,074

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.78 : 3,802.05 = 1,074 : x
2. Step 2: Convert to fraction form
   2,535.78/3,802.05 = 1,074/x
3. Step 3: Cross multiply
   2,535.78x = 3,802.05 × 1,074
4. Step 4: Simplify right side
   2,535.78x = 4,083,401.70
5. Step 5: Solve for x
   x = 4,083,401.70/2,535.78
6. Step 6: Final answer
   x = 1,610.31