Finding the Fourth Proportional to 1,109.81, 1,665.05 and 329.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.81 : 1,665.05 = 329.82 : x
2. Step 2: Convert to fraction form
   1,109.81/1,665.05 = 329.82/x
3. Step 3: Cross multiply
   1,109.81x = 1,665.05 × 329.82
4. Step 4: Simplify right side
   1,109.81x = 549,165.14
5. Step 5: Solve for x
   x = 549,165.14/1,109.81
6. Step 6: Final answer
   x = 494.83