Finding the Fourth Proportional to 2,582.12, 3,875.16 and 1,284.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.12 : 3,875.16 = 1,284.68 : x
2. Step 2: Convert to fraction form
   2,582.12/3,875.16 = 1,284.68/x
3. Step 3: Cross multiply
   2,582.12x = 3,875.16 × 1,284.68
4. Step 4: Simplify right side
   2,582.12x = 4,978,340.55
5. Step 5: Solve for x
   x = 4,978,340.55/2,582.12
6. Step 6: Final answer
   x = 1,928.01