Finding the Fourth Proportional to 1,383.40, 1,908.80 and 824.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.40 : 1,908.80 = 824.08 : x
2. Step 2: Convert to fraction form
   1,383.40/1,908.80 = 824.08/x
3. Step 3: Cross multiply
   1,383.40x = 1,908.80 × 824.08
4. Step 4: Simplify right side
   1,383.40x = 1,573,003.90
5. Step 5: Solve for x
   x = 1,573,003.90/1,383.40
6. Step 6: Final answer
   x = 1,137.06