Finding the Fourth Proportional to 1,383.73, 1,909.59 and 824.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.73 : 1,909.59 = 824.20 : x
2. Step 2: Convert to fraction form
   1,383.73/1,909.59 = 824.20/x
3. Step 3: Cross multiply
   1,383.73x = 1,909.59 × 824.20
4. Step 4: Simplify right side
   1,383.73x = 1,573,884.08
5. Step 5: Solve for x
   x = 1,573,884.08/1,383.73
6. Step 6: Final answer
   x = 1,137.42