Finding the Fourth Proportional to 2,582.46, 3,871.62 and 1,196.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.46 : 3,871.62 = 1,196.44 : x
2. Step 2: Convert to fraction form
   2,582.46/3,871.62 = 1,196.44/x
3. Step 3: Cross multiply
   2,582.46x = 3,871.62 × 1,196.44
4. Step 4: Simplify right side
   2,582.46x = 4,632,151.35
5. Step 5: Solve for x
   x = 4,632,151.35/2,582.46
6. Step 6: Final answer
   x = 1,793.70