Finding the Fourth Proportional to 1,112.24, 1,667.10 and 495.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,112.24 : 1,667.10 = 495.86 : x
2. Step 2: Convert to fraction form
   1,112.24/1,667.10 = 495.86/x
3. Step 3: Cross multiply
   1,112.24x = 1,667.10 × 495.86
4. Step 4: Simplify right side
   1,112.24x = 826,648.21
5. Step 5: Solve for x
   x = 826,648.21/1,112.24
6. Step 6: Final answer
   x = 743.23