Finding the Fourth Proportional to 1,055.52, 1,582.79 and 823.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.52 : 1,582.79 = 823.83 : x
2. Step 2: Convert to fraction form
   1,055.52/1,582.79 = 823.83/x
3. Step 3: Cross multiply
   1,055.52x = 1,582.79 × 823.83
4. Step 4: Simplify right side
   1,055.52x = 1,303,949.89
5. Step 5: Solve for x
   x = 1,303,949.89/1,055.52
6. Step 6: Final answer
   x = 1,235.36