Finding the Fourth Proportional to 1,109.96, 1,665.33 and 494.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.96 : 1,665.33 = 494.10 : x
2. Step 2: Convert to fraction form
   1,109.96/1,665.33 = 494.10/x
3. Step 3: Cross multiply
   1,109.96x = 1,665.33 × 494.10
4. Step 4: Simplify right side
   1,109.96x = 822,839.55
5. Step 5: Solve for x
   x = 822,839.55/1,109.96
6. Step 6: Final answer
   x = 741.32