Finding the Fourth Proportional to 1,109.69, 1,664.95 and 492.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.69 : 1,664.95 = 492.96 : x
2. Step 2: Convert to fraction form
   1,109.69/1,664.95 = 492.96/x
3. Step 3: Cross multiply
   1,109.69x = 1,664.95 × 492.96
4. Step 4: Simplify right side
   1,109.69x = 820,752.52
5. Step 5: Solve for x
   x = 820,752.52/1,109.69
6. Step 6: Final answer
   x = 739.62