Finding the Fourth Proportional to 2,556.10, 3,834.24 and 824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.10 : 3,834.24 = 824.50 : x
2. Step 2: Convert to fraction form
   2,556.10/3,834.24 = 824.50/x
3. Step 3: Cross multiply
   2,556.10x = 3,834.24 × 824.50
4. Step 4: Simplify right side
   2,556.10x = 3,161,330.88
5. Step 5: Solve for x
   x = 3,161,330.88/2,556.10
6. Step 6: Final answer
   x = 1,236.78