Finding the Fourth Proportional to 1,099.69, 1,649.69 and 406.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.69 : 1,649.69 = 406.27 : x
2. Step 2: Convert to fraction form
   1,099.69/1,649.69 = 406.27/x
3. Step 3: Cross multiply
   1,099.69x = 1,649.69 × 406.27
4. Step 4: Simplify right side
   1,099.69x = 670,219.56
5. Step 5: Solve for x
   x = 670,219.56/1,099.69
6. Step 6: Final answer
   x = 609.46