Finding the Fourth Proportional to 1,383.02, 1,908.84 and 823.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.02 : 1,908.84 = 823.82 : x
2. Step 2: Convert to fraction form
   1,383.02/1,908.84 = 823.82/x
3. Step 3: Cross multiply
   1,383.02x = 1,908.84 × 823.82
4. Step 4: Simplify right side
   1,383.02x = 1,572,531.02
5. Step 5: Solve for x
   x = 1,572,531.02/1,383.02
6. Step 6: Final answer
   x = 1,137.03