Finding the Fourth Proportional to 1,097.51, 1,645.77 and 404.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.51 : 1,645.77 = 404.06 : x
2. Step 2: Convert to fraction form
   1,097.51/1,645.77 = 404.06/x
3. Step 3: Cross multiply
   1,097.51x = 1,645.77 × 404.06
4. Step 4: Simplify right side
   1,097.51x = 664,989.83
5. Step 5: Solve for x
   x = 664,989.83/1,097.51
6. Step 6: Final answer
   x = 605.91