Finding the Fourth Proportional to 1,383.88, 1,909.22 and 824.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.88 : 1,909.22 = 824.37 : x
2. Step 2: Convert to fraction form
   1,383.88/1,909.22 = 824.37/x
3. Step 3: Cross multiply
   1,383.88x = 1,909.22 × 824.37
4. Step 4: Simplify right side
   1,383.88x = 1,573,894.15
5. Step 5: Solve for x
   x = 1,573,894.15/1,383.88
6. Step 6: Final answer
   x = 1,137.31