Finding the Fourth Proportional to 1,162.55, 1,604.25 and 665.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.55 : 1,604.25 = 665.14 : x
2. Step 2: Convert to fraction form
   1,162.55/1,604.25 = 665.14/x
3. Step 3: Cross multiply
   1,162.55x = 1,604.25 × 665.14
4. Step 4: Simplify right side
   1,162.55x = 1,067,046.83
5. Step 5: Solve for x
   x = 1,067,046.83/1,162.55
6. Step 6: Final answer
   x = 917.85