Finding the Fourth Proportional to 1,099.82, 1,649.98 and 319.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.82 : 1,649.98 = 319.83 : x
2. Step 2: Convert to fraction form
   1,099.82/1,649.98 = 319.83/x
3. Step 3: Cross multiply
   1,099.82x = 1,649.98 × 319.83
4. Step 4: Simplify right side
   1,099.82x = 527,713.10
5. Step 5: Solve for x
   x = 527,713.10/1,099.82
6. Step 6: Final answer
   x = 479.82