Finding the Fourth Proportional to 1,103.01, 1,653.59 and 409.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,103.01 : 1,653.59 = 409.55 : x
2. Step 2: Convert to fraction form
   1,103.01/1,653.59 = 409.55/x
3. Step 3: Cross multiply
   1,103.01x = 1,653.59 × 409.55
4. Step 4: Simplify right side
   1,103.01x = 677,227.78
5. Step 5: Solve for x
   x = 677,227.78/1,103.01
6. Step 6: Final answer
   x = 613.98