Finding the Fourth Proportional to 2,074.26, 2,862.46 and 1,142.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.26 : 2,862.46 = 1,142.76 : x
2. Step 2: Convert to fraction form
   2,074.26/2,862.46 = 1,142.76/x
3. Step 3: Cross multiply
   2,074.26x = 2,862.46 × 1,142.76
4. Step 4: Simplify right side
   2,074.26x = 3,271,104.79
5. Step 5: Solve for x
   x = 3,271,104.79/2,074.26
6. Step 6: Final answer
   x = 1,577.00