Finding the Fourth Proportional to 1,185.30, 1,777.98 and 363.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.30 : 1,777.98 = 363.69 : x
2. Step 2: Convert to fraction form
   1,185.30/1,777.98 = 363.69/x
3. Step 3: Cross multiply
   1,185.30x = 1,777.98 × 363.69
4. Step 4: Simplify right side
   1,185.30x = 646,633.55
5. Step 5: Solve for x
   x = 646,633.55/1,185.30
6. Step 6: Final answer
   x = 545.54