Finding the Fourth Proportional to 1,196.35, 1,792.14 and 578.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.35 : 1,792.14 = 578.23 : x
2. Step 2: Convert to fraction form
   1,196.35/1,792.14 = 578.23/x
3. Step 3: Cross multiply
   1,196.35x = 1,792.14 × 578.23
4. Step 4: Simplify right side
   1,196.35x = 1,036,269.11
5. Step 5: Solve for x
   x = 1,036,269.11/1,196.35
6. Step 6: Final answer
   x = 866.19