Finding the Fourth Proportional to 1,097.42, 1,645.83 and 404.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.42 : 1,645.83 = 404.15 : x
2. Step 2: Convert to fraction form
   1,097.42/1,645.83 = 404.15/x
3. Step 3: Cross multiply
   1,097.42x = 1,645.83 × 404.15
4. Step 4: Simplify right side
   1,097.42x = 665,153.97
5. Step 5: Solve for x
   x = 665,153.97/1,097.42
6. Step 6: Final answer
   x = 606.11