Finding the Fourth Proportional to 1,109.32, 1,663.72 and 329.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.32 : 1,663.72 = 329.10 : x
2. Step 2: Convert to fraction form
   1,109.32/1,663.72 = 329.10/x
3. Step 3: Cross multiply
   1,109.32x = 1,663.72 × 329.10
4. Step 4: Simplify right side
   1,109.32x = 547,530.25
5. Step 5: Solve for x
   x = 547,530.25/1,109.32
6. Step 6: Final answer
   x = 493.57