Finding the Fourth Proportional to 1,109.31, 1,663.77 and 329.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.31 : 1,663.77 = 329.29 : x
2. Step 2: Convert to fraction form
   1,109.31/1,663.77 = 329.29/x
3. Step 3: Cross multiply
   1,109.31x = 1,663.77 × 329.29
4. Step 4: Simplify right side
   1,109.31x = 547,862.82
5. Step 5: Solve for x
   x = 547,862.82/1,109.31
6. Step 6: Final answer
   x = 493.88