Finding the Fourth Proportional to 1,384.24, 1,909.84 and 824.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.24 : 1,909.84 = 824.43 : x
2. Step 2: Convert to fraction form
   1,384.24/1,909.84 = 824.43/x
3. Step 3: Cross multiply
   1,384.24x = 1,909.84 × 824.43
4. Step 4: Simplify right side
   1,384.24x = 1,574,515.72
5. Step 5: Solve for x
   x = 1,574,515.72/1,384.24
6. Step 6: Final answer
   x = 1,137.46