Finding the Fourth Proportional to 2,554.48, 3,831.63 and 823.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,554.48 : 3,831.63 = 823.15 : x
2. Step 2: Convert to fraction form
   2,554.48/3,831.63 = 823.15/x
3. Step 3: Cross multiply
   2,554.48x = 3,831.63 × 823.15
4. Step 4: Simplify right side
   2,554.48x = 3,154,006.23
5. Step 5: Solve for x
   x = 3,154,006.23/2,554.48
6. Step 6: Final answer
   x = 1,234.70