Finding the Fourth Proportional to 1,109.76, 1,663.35 and 492.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.76 : 1,663.35 = 492.78 : x
2. Step 2: Convert to fraction form
   1,109.76/1,663.35 = 492.78/x
3. Step 3: Cross multiply
   1,109.76x = 1,663.35 × 492.78
4. Step 4: Simplify right side
   1,109.76x = 819,665.61
5. Step 5: Solve for x
   x = 819,665.61/1,109.76
6. Step 6: Final answer
   x = 738.60