Finding the Fourth Proportional to 1,196.40, 1,792.96 and 545.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.40 : 1,792.96 = 545.60 : x
2. Step 2: Convert to fraction form
   1,196.40/1,792.96 = 545.60/x
3. Step 3: Cross multiply
   1,196.40x = 1,792.96 × 545.60
4. Step 4: Simplify right side
   1,196.40x = 978,238.98
5. Step 5: Solve for x
   x = 978,238.98/1,196.40
6. Step 6: Final answer
   x = 817.65