Finding the Fourth Proportional to 1,100.05, 1,650.14 and 320.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.05 : 1,650.14 = 320.05 : x
2. Step 2: Convert to fraction form
   1,100.05/1,650.14 = 320.05/x
3. Step 3: Cross multiply
   1,100.05x = 1,650.14 × 320.05
4. Step 4: Simplify right side
   1,100.05x = 528,123.98
5. Step 5: Solve for x
   x = 528,123.98/1,100.05
6. Step 6: Final answer
   x = 480.09