Finding the Fourth Proportional to 1,383.89, 1,909.58 and 824.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.89 : 1,909.58 = 824.58 : x
2. Step 2: Convert to fraction form
   1,383.89/1,909.58 = 824.58/x
3. Step 3: Cross multiply
   1,383.89x = 1,909.58 × 824.58
4. Step 4: Simplify right side
   1,383.89x = 1,574,597.35
5. Step 5: Solve for x
   x = 1,574,597.35/1,383.89
6. Step 6: Final answer
   x = 1,137.81