Finding the Fourth Proportional to 1,329.18, 1,834.17 and 824.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,329.18 : 1,834.17 = 824.82 : x
2. Step 2: Convert to fraction form
   1,329.18/1,834.17 = 824.82/x
3. Step 3: Cross multiply
   1,329.18x = 1,834.17 × 824.82
4. Step 4: Simplify right side
   1,329.18x = 1,512,860.10
5. Step 5: Solve for x
   x = 1,512,860.10/1,329.18
6. Step 6: Final answer
   x = 1,138.19