Finding the Fourth Proportional to 1,194.69, 1,792.42 and 578.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.69 : 1,792.42 = 578.46 : x
2. Step 2: Convert to fraction form
   1,194.69/1,792.42 = 578.46/x
3. Step 3: Cross multiply
   1,194.69x = 1,792.42 × 578.46
4. Step 4: Simplify right side
   1,194.69x = 1,036,843.27
5. Step 5: Solve for x
   x = 1,036,843.27/1,194.69
6. Step 6: Final answer
   x = 867.88