Finding the Fourth Proportional to 2,582.04, 3,870.58 and 1,282.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.04 : 3,870.58 = 1,282.80 : x
2. Step 2: Convert to fraction form
   2,582.04/3,870.58 = 1,282.80/x
3. Step 3: Cross multiply
   2,582.04x = 3,870.58 × 1,282.80
4. Step 4: Simplify right side
   2,582.04x = 4,965,180.02
5. Step 5: Solve for x
   x = 4,965,180.02/2,582.04
6. Step 6: Final answer
   x = 1,922.97