Finding the Fourth Proportional to 2,074.32, 2,862.55 and 1,142.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.32 : 2,862.55 = 1,142.82 : x
2. Step 2: Convert to fraction form
   2,074.32/2,862.55 = 1,142.82/x
3. Step 3: Cross multiply
   2,074.32x = 2,862.55 × 1,142.82
4. Step 4: Simplify right side
   2,074.32x = 3,271,379.39
5. Step 5: Solve for x
   x = 3,271,379.39/2,074.32
6. Step 6: Final answer
   x = 1,577.09