Finding the Fourth Proportional to 1,165.38, 1,608.17 and 641.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.38 : 1,608.17 = 641.31 : x
2. Step 2: Convert to fraction form
   1,165.38/1,608.17 = 641.31/x
3. Step 3: Cross multiply
   1,165.38x = 1,608.17 × 641.31
4. Step 4: Simplify right side
   1,165.38x = 1,031,332.30
5. Step 5: Solve for x
   x = 1,031,332.30/1,165.38
6. Step 6: Final answer
   x = 884.98