Finding the Fourth Proportional to 1,185.25, 1,778.15 and 363.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.25 : 1,778.15 = 363.59 : x
2. Step 2: Convert to fraction form
   1,185.25/1,778.15 = 363.59/x
3. Step 3: Cross multiply
   1,185.25x = 1,778.15 × 363.59
4. Step 4: Simplify right side
   1,185.25x = 646,517.56
5. Step 5: Solve for x
   x = 646,517.56/1,185.25
6. Step 6: Final answer
   x = 545.47