Finding the Fourth Proportional to 1,109.37, 1,664.25 and 493.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.37 : 1,664.25 = 493.09 : x
2. Step 2: Convert to fraction form
   1,109.37/1,664.25 = 493.09/x
3. Step 3: Cross multiply
   1,109.37x = 1,664.25 × 493.09
4. Step 4: Simplify right side
   1,109.37x = 820,619.02
5. Step 5: Solve for x
   x = 820,619.02/1,109.37
6. Step 6: Final answer
   x = 739.72