Finding the Fourth Proportional to 1,099.50, 1,649.31 and 369.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.50 : 1,649.31 = 369.10 : x
2. Step 2: Convert to fraction form
   1,099.50/1,649.31 = 369.10/x
3. Step 3: Cross multiply
   1,099.50x = 1,649.31 × 369.10
4. Step 4: Simplify right side
   1,099.50x = 608,760.32
5. Step 5: Solve for x
   x = 608,760.32/1,099.50
6. Step 6: Final answer
   x = 553.67