Finding the Fourth Proportional to 1,383.23, 1,909.13 and 824.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.23 : 1,909.13 = 824.03 : x
2. Step 2: Convert to fraction form
   1,383.23/1,909.13 = 824.03/x
3. Step 3: Cross multiply
   1,383.23x = 1,909.13 × 824.03
4. Step 4: Simplify right side
   1,383.23x = 1,573,173.89
5. Step 5: Solve for x
   x = 1,573,173.89/1,383.23
6. Step 6: Final answer
   x = 1,137.32