Finding the Fourth Proportional to 2,574.80, 3,859.32 and 1,034

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574.80 : 3,859.32 = 1,034 : x
2. Step 2: Convert to fraction form
   2,574.80/3,859.32 = 1,034/x
3. Step 3: Cross multiply
   2,574.80x = 3,859.32 × 1,034
4. Step 4: Simplify right side
   2,574.80x = 3,990,536.88
5. Step 5: Solve for x
   x = 3,990,536.88/2,574.80
6. Step 6: Final answer
   x = 1,549.84