Finding the Fourth Proportional to 1,097.59, 1,645.82 and 404.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.59 : 1,645.82 = 404.08 : x
2. Step 2: Convert to fraction form
   1,097.59/1,645.82 = 404.08/x
3. Step 3: Cross multiply
   1,097.59x = 1,645.82 × 404.08
4. Step 4: Simplify right side
   1,097.59x = 665,042.95
5. Step 5: Solve for x
   x = 665,042.95/1,097.59
6. Step 6: Final answer
   x = 605.91