Finding the Fourth Proportional to 1,097.78, 1,646.12 and 404.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.78 : 1,646.12 = 404.42 : x
2. Step 2: Convert to fraction form
   1,097.78/1,646.12 = 404.42/x
3. Step 3: Cross multiply
   1,097.78x = 1,646.12 × 404.42
4. Step 4: Simplify right side
   1,097.78x = 665,716.63
5. Step 5: Solve for x
   x = 665,716.63/1,097.78
6. Step 6: Final answer
   x = 606.42