Finding the Fourth Proportional to 1,109.49, 1,663.89 and 492.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.49 : 1,663.89 = 492.81 : x
2. Step 2: Convert to fraction form
   1,109.49/1,663.89 = 492.81/x
3. Step 3: Cross multiply
   1,109.49x = 1,663.89 × 492.81
4. Step 4: Simplify right side
   1,109.49x = 819,981.63
5. Step 5: Solve for x
   x = 819,981.63/1,109.49
6. Step 6: Final answer
   x = 739.06