Finding the Fourth Proportional to 1,185.27, 1,777.82 and 664.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.27 : 1,777.82 = 664.94 : x
2. Step 2: Convert to fraction form
   1,185.27/1,777.82 = 664.94/x
3. Step 3: Cross multiply
   1,185.27x = 1,777.82 × 664.94
4. Step 4: Simplify right side
   1,185.27x = 1,182,131.42
5. Step 5: Solve for x
   x = 1,182,131.42/1,185.27
6. Step 6: Final answer
   x = 997.35