Finding the Fourth Proportional to 1,109.94, 1,663.65 and 492.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.94 : 1,663.65 = 492.72 : x
2. Step 2: Convert to fraction form
   1,109.94/1,663.65 = 492.72/x
3. Step 3: Cross multiply
   1,109.94x = 1,663.65 × 492.72
4. Step 4: Simplify right side
   1,109.94x = 819,713.63
5. Step 5: Solve for x
   x = 819,713.63/1,109.94
6. Step 6: Final answer
   x = 738.52