Finding the Fourth Proportional to 1,097.31, 1,646.18 and 404.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.31 : 1,646.18 = 404.16 : x
2. Step 2: Convert to fraction form
   1,097.31/1,646.18 = 404.16/x
3. Step 3: Cross multiply
   1,097.31x = 1,646.18 × 404.16
4. Step 4: Simplify right side
   1,097.31x = 665,318.09
5. Step 5: Solve for x
   x = 665,318.09/1,097.31
6. Step 6: Final answer
   x = 606.32