Finding the Fourth Proportional to 1,162.74, 1,604.79 and 665.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.74 : 1,604.79 = 665.40 : x
2. Step 2: Convert to fraction form
   1,162.74/1,604.79 = 665.40/x
3. Step 3: Cross multiply
   1,162.74x = 1,604.79 × 665.40
4. Step 4: Simplify right side
   1,162.74x = 1,067,827.27
5. Step 5: Solve for x
   x = 1,067,827.27/1,162.74
6. Step 6: Final answer
   x = 918.37