Finding the Fourth Proportional to 2,582.16, 3,874.22 and 1,196.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.16 : 3,874.22 = 1,196.16 : x
2. Step 2: Convert to fraction form
   2,582.16/3,874.22 = 1,196.16/x
3. Step 3: Cross multiply
   2,582.16x = 3,874.22 × 1,196.16
4. Step 4: Simplify right side
   2,582.16x = 4,634,187.00
5. Step 5: Solve for x
   x = 4,634,187.00/2,582.16
6. Step 6: Final answer
   x = 1,794.69