Finding the Fourth Proportional to 1,383.71, 1,909.53 and 824.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.71 : 1,909.53 = 824.07 : x
2. Step 2: Convert to fraction form
   1,383.71/1,909.53 = 824.07/x
3. Step 3: Cross multiply
   1,383.71x = 1,909.53 × 824.07
4. Step 4: Simplify right side
   1,383.71x = 1,573,586.39
5. Step 5: Solve for x
   x = 1,573,586.39/1,383.71
6. Step 6: Final answer
   x = 1,137.22