Finding the Fourth Proportional to 1,383.58, 1,909.32 and 824.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.58 : 1,909.32 = 824.32 : x
2. Step 2: Convert to fraction form
   1,383.58/1,909.32 = 824.32/x
3. Step 3: Cross multiply
   1,383.58x = 1,909.32 × 824.32
4. Step 4: Simplify right side
   1,383.58x = 1,573,890.66
5. Step 5: Solve for x
   x = 1,573,890.66/1,383.58
6. Step 6: Final answer
   x = 1,137.55