Finding the Fourth Proportional to 1,109.20, 1,663.98 and 493.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.20 : 1,663.98 = 493.12 : x
2. Step 2: Convert to fraction form
   1,109.20/1,663.98 = 493.12/x
3. Step 3: Cross multiply
   1,109.20x = 1,663.98 × 493.12
4. Step 4: Simplify right side
   1,109.20x = 820,541.82
5. Step 5: Solve for x
   x = 820,541.82/1,109.20
6. Step 6: Final answer
   x = 739.76