Finding the Fourth Proportional to 1,321.94, 1,823.82 and 824.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,321.94 : 1,823.82 = 824.24 : x
2. Step 2: Convert to fraction form
   1,321.94/1,823.82 = 824.24/x
3. Step 3: Cross multiply
   1,321.94x = 1,823.82 × 824.24
4. Step 4: Simplify right side
   1,321.94x = 1,503,265.40
5. Step 5: Solve for x
   x = 1,503,265.40/1,321.94
6. Step 6: Final answer
   x = 1,137.17