Finding the Fourth Proportional to 1,099.89, 1,649.83 and 442.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.89 : 1,649.83 = 442.06 : x
2. Step 2: Convert to fraction form
   1,099.89/1,649.83 = 442.06/x
3. Step 3: Cross multiply
   1,099.89x = 1,649.83 × 442.06
4. Step 4: Simplify right side
   1,099.89x = 729,323.85
5. Step 5: Solve for x
   x = 729,323.85/1,099.89
6. Step 6: Final answer
   x = 663.09