Finding the Fourth Proportional to 2,074.40, 2,862.63 and 1,142.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.40 : 2,862.63 = 1,142.90 : x
2. Step 2: Convert to fraction form
   2,074.40/2,862.63 = 1,142.90/x
3. Step 3: Cross multiply
   2,074.40x = 2,862.63 × 1,142.90
4. Step 4: Simplify right side
   2,074.40x = 3,271,699.83
5. Step 5: Solve for x
   x = 3,271,699.83/2,074.40
6. Step 6: Final answer
   x = 1,577.18