Finding the Fourth Proportional to 1,383.54, 1,908.78 and 824.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.54 : 1,908.78 = 824.16 : x
2. Step 2: Convert to fraction form
   1,383.54/1,908.78 = 824.16/x
3. Step 3: Cross multiply
   1,383.54x = 1,908.78 × 824.16
4. Step 4: Simplify right side
   1,383.54x = 1,573,140.12
5. Step 5: Solve for x
   x = 1,573,140.12/1,383.54
6. Step 6: Final answer
   x = 1,137.04