Finding the Fourth Proportional to 1,196.48, 1,794.78 and 363.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.48 : 1,794.78 = 363.60 : x
2. Step 2: Convert to fraction form
   1,196.48/1,794.78 = 363.60/x
3. Step 3: Cross multiply
   1,196.48x = 1,794.78 × 363.60
4. Step 4: Simplify right side
   1,196.48x = 652,582.01
5. Step 5: Solve for x
   x = 652,582.01/1,196.48
6. Step 6: Final answer
   x = 545.42