Finding the Fourth Proportional to 1,097.38, 1,644.18 and 664.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.38 : 1,644.18 = 664.30 : x
2. Step 2: Convert to fraction form
   1,097.38/1,644.18 = 664.30/x
3. Step 3: Cross multiply
   1,097.38x = 1,644.18 × 664.30
4. Step 4: Simplify right side
   1,097.38x = 1,092,228.77
5. Step 5: Solve for x
   x = 1,092,228.77/1,097.38
6. Step 6: Final answer
   x = 995.31