Finding the Fourth Proportional to 2,556.69, 3,834.21 and 824.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.69 : 3,834.21 = 824.91 : x
2. Step 2: Convert to fraction form
   2,556.69/3,834.21 = 824.91/x
3. Step 3: Cross multiply
   2,556.69x = 3,834.21 × 824.91
4. Step 4: Simplify right side
   2,556.69x = 3,162,866.89
5. Step 5: Solve for x
   x = 3,162,866.89/2,556.69
6. Step 6: Final answer
   x = 1,237.10