Finding the Fourth Proportional to 1,098.14, 1,646.71 and 404.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.14 : 1,646.71 = 404.69 : x
2. Step 2: Convert to fraction form
   1,098.14/1,646.71 = 404.69/x
3. Step 3: Cross multiply
   1,098.14x = 1,646.71 × 404.69
4. Step 4: Simplify right side
   1,098.14x = 666,407.07
5. Step 5: Solve for x
   x = 666,407.07/1,098.14
6. Step 6: Final answer
   x = 606.85