Finding the Fourth Proportional to 1,100.29, 1,649.50 and 406.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.29 : 1,649.50 = 406.83 : x
2. Step 2: Convert to fraction form
   1,100.29/1,649.50 = 406.83/x
3. Step 3: Cross multiply
   1,100.29x = 1,649.50 × 406.83
4. Step 4: Simplify right side
   1,100.29x = 671,067.00
5. Step 5: Solve for x
   x = 671,067.00/1,100.29
6. Step 6: Final answer
   x = 609.90