Finding the Fourth Proportional to 2,582.45, 3,871.52 and 1,196.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.45 : 3,871.52 = 1,196.78 : x
2. Step 2: Convert to fraction form
   2,582.45/3,871.52 = 1,196.78/x
3. Step 3: Cross multiply
   2,582.45x = 3,871.52 × 1,196.78
4. Step 4: Simplify right side
   2,582.45x = 4,633,368.13
5. Step 5: Solve for x
   x = 4,633,368.13/2,582.45
6. Step 6: Final answer
   x = 1,794.17