Finding the Fourth Proportional to 1,109.25, 1,662.76 and 493.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.25 : 1,662.76 = 493.23 : x
2. Step 2: Convert to fraction form
   1,109.25/1,662.76 = 493.23/x
3. Step 3: Cross multiply
   1,109.25x = 1,662.76 × 493.23
4. Step 4: Simplify right side
   1,109.25x = 820,123.11
5. Step 5: Solve for x
   x = 820,123.11/1,109.25
6. Step 6: Final answer
   x = 739.35