Finding the Fourth Proportional to 1,383.94, 1,909.70 and 824.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.94 : 1,909.70 = 824.30 : x
2. Step 2: Convert to fraction form
   1,383.94/1,909.70 = 824.30/x
3. Step 3: Cross multiply
   1,383.94x = 1,909.70 × 824.30
4. Step 4: Simplify right side
   1,383.94x = 1,574,152.04
5. Step 5: Solve for x
   x = 1,574,152.04/1,383.94
6. Step 6: Final answer
   x = 1,137.44