Finding the Fourth Proportional to 1,383.85, 1,909.47 and 824.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.85 : 1,909.47 = 824.05 : x
2. Step 2: Convert to fraction form
   1,383.85/1,909.47 = 824.05/x
3. Step 3: Cross multiply
   1,383.85x = 1,909.47 × 824.05
4. Step 4: Simplify right side
   1,383.85x = 1,573,498.75
5. Step 5: Solve for x
   x = 1,573,498.75/1,383.85
6. Step 6: Final answer
   x = 1,137.04