Finding the Fourth Proportional to 1,162.37, 1,604.09 and 665.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.37 : 1,604.09 = 665.05 : x
2. Step 2: Convert to fraction form
   1,162.37/1,604.09 = 665.05/x
3. Step 3: Cross multiply
   1,162.37x = 1,604.09 × 665.05
4. Step 4: Simplify right side
   1,162.37x = 1,066,796.73
5. Step 5: Solve for x
   x = 1,066,796.73/1,162.37
6. Step 6: Final answer
   x = 917.78