Finding the Fourth Proportional to 935.07, 1,288.89 and 823.83

Step by Step Solution

1. Step 1: Write the proportion equation
   935.07 : 1,288.89 = 823.83 : x
2. Step 2: Convert to fraction form
   935.07/1,288.89 = 823.83/x
3. Step 3: Cross multiply
   935.07x = 1,288.89 × 823.83
4. Step 4: Simplify right side
   935.07x = 1,061,826.25
5. Step 5: Solve for x
   x = 1,061,826.25/935.07
6. Step 6: Final answer
   x = 1,135.56