Finding the Fourth Proportional to 1,097.46, 1,645.65 and 404.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.46 : 1,645.65 = 404.10 : x
2. Step 2: Convert to fraction form
   1,097.46/1,645.65 = 404.10/x
3. Step 3: Cross multiply
   1,097.46x = 1,645.65 × 404.10
4. Step 4: Simplify right side
   1,097.46x = 665,007.17
5. Step 5: Solve for x
   x = 665,007.17/1,097.46
6. Step 6: Final answer
   x = 605.95