Finding the Fourth Proportional to 1,097.89, 1,646.50 and 404.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.89 : 1,646.50 = 404.53 : x
2. Step 2: Convert to fraction form
   1,097.89/1,646.50 = 404.53/x
3. Step 3: Cross multiply
   1,097.89x = 1,646.50 × 404.53
4. Step 4: Simplify right side
   1,097.89x = 666,058.65
5. Step 5: Solve for x
   x = 666,058.65/1,097.89
6. Step 6: Final answer
   x = 606.67