Finding the Fourth Proportional to 2,556.56, 3,834.03 and 824.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.56 : 3,834.03 = 824.78 : x
2. Step 2: Convert to fraction form
   2,556.56/3,834.03 = 824.78/x
3. Step 3: Cross multiply
   2,556.56x = 3,834.03 × 824.78
4. Step 4: Simplify right side
   2,556.56x = 3,162,231.26
5. Step 5: Solve for x
   x = 3,162,231.26/2,556.56
6. Step 6: Final answer
   x = 1,236.91