Finding the Fourth Proportional to 1,384.05, 1,909.80 and 824.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.05 : 1,909.80 = 824.48 : x
2. Step 2: Convert to fraction form
   1,384.05/1,909.80 = 824.48/x
3. Step 3: Cross multiply
   1,384.05x = 1,909.80 × 824.48
4. Step 4: Simplify right side
   1,384.05x = 1,574,591.90
5. Step 5: Solve for x
   x = 1,574,591.90/1,384.05
6. Step 6: Final answer
   x = 1,137.67