Finding the Fourth Proportional to 1,383.88, 1,909.60 and 824.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.88 : 1,909.60 = 824.27 : x
2. Step 2: Convert to fraction form
   1,383.88/1,909.60 = 824.27/x
3. Step 3: Cross multiply
   1,383.88x = 1,909.60 × 824.27
4. Step 4: Simplify right side
   1,383.88x = 1,574,017.10
5. Step 5: Solve for x
   x = 1,574,017.10/1,383.88
6. Step 6: Final answer
   x = 1,137.40