Finding the Fourth Proportional to 1,383.55, 1,909.21 and 824.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.55 : 1,909.21 = 824.06 : x
2. Step 2: Convert to fraction form
   1,383.55/1,909.21 = 824.06/x
3. Step 3: Cross multiply
   1,383.55x = 1,909.21 × 824.06
4. Step 4: Simplify right side
   1,383.55x = 1,573,303.59
5. Step 5: Solve for x
   x = 1,573,303.59/1,383.55
6. Step 6: Final answer
   x = 1,137.15