Finding the Fourth Proportional to 2,556.09, 3,831.70 and 823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.09 : 3,831.70 = 823.50 : x
2. Step 2: Convert to fraction form
   2,556.09/3,831.70 = 823.50/x
3. Step 3: Cross multiply
   2,556.09x = 3,831.70 × 823.50
4. Step 4: Simplify right side
   2,556.09x = 3,155,404.95
5. Step 5: Solve for x
   x = 3,155,404.95/2,556.09
6. Step 6: Final answer
   x = 1,234.47