Finding the Fourth Proportional to 2,074, 2,862.17 and 1,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074 : 2,862.17 = 1,142.50 : x
2. Step 2: Convert to fraction form
   2,074/2,862.17 = 1,142.50/x
3. Step 3: Cross multiply
   2,074x = 2,862.17 × 1,142.50
4. Step 4: Simplify right side
   2,074x = 3,270,029.23
5. Step 5: Solve for x
   x = 3,270,029.23/2,074
6. Step 6: Final answer
   x = 1,576.68