Finding the Fourth Proportional to 1,105.48, 1,657.76 and 488.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.48 : 1,657.76 = 488.75 : x
2. Step 2: Convert to fraction form
   1,105.48/1,657.76 = 488.75/x
3. Step 3: Cross multiply
   1,105.48x = 1,657.76 × 488.75
4. Step 4: Simplify right side
   1,105.48x = 810,227.76
5. Step 5: Solve for x
   x = 810,227.76/1,105.48
6. Step 6: Final answer
   x = 732.92