Finding the Fourth Proportional to 1,185.94, 1,777.89 and 665.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.94 : 1,777.89 = 665.51 : x
2. Step 2: Convert to fraction form
   1,185.94/1,777.89 = 665.51/x
3. Step 3: Cross multiply
   1,185.94x = 1,777.89 × 665.51
4. Step 4: Simplify right side
   1,185.94x = 1,183,203.57
5. Step 5: Solve for x
   x = 1,183,203.57/1,185.94
6. Step 6: Final answer
   x = 997.69