Finding the Fourth Proportional to 824.89, 1,136.41 and 678.37

Step by Step Solution

1. Step 1: Write the proportion equation
   824.89 : 1,136.41 = 678.37 : x
2. Step 2: Convert to fraction form
   824.89/1,136.41 = 678.37/x
3. Step 3: Cross multiply
   824.89x = 1,136.41 × 678.37
4. Step 4: Simplify right side
   824.89x = 770,906.45
5. Step 5: Solve for x
   x = 770,906.45/824.89
6. Step 6: Final answer
   x = 934.56