Finding the Fourth Proportional to 1,384.05, 1,909.83 and 824.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.05 : 1,909.83 = 824.44 : x
2. Step 2: Convert to fraction form
   1,384.05/1,909.83 = 824.44/x
3. Step 3: Cross multiply
   1,384.05x = 1,909.83 × 824.44
4. Step 4: Simplify right side
   1,384.05x = 1,574,540.25
5. Step 5: Solve for x
   x = 1,574,540.25/1,384.05
6. Step 6: Final answer
   x = 1,137.63