Finding the Fourth Proportional to 1,109.57, 1,665.09 and 493.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.57 : 1,665.09 = 493.07 : x
2. Step 2: Convert to fraction form
   1,109.57/1,665.09 = 493.07/x
3. Step 3: Cross multiply
   1,109.57x = 1,665.09 × 493.07
4. Step 4: Simplify right side
   1,109.57x = 820,997.60
5. Step 5: Solve for x
   x = 820,997.60/1,109.57
6. Step 6: Final answer
   x = 739.93