Finding the Fourth Proportional to 1,142.33, 1,713.22 and 492.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.33 : 1,713.22 = 492.71 : x
2. Step 2: Convert to fraction form
   1,142.33/1,713.22 = 492.71/x
3. Step 3: Cross multiply
   1,142.33x = 1,713.22 × 492.71
4. Step 4: Simplify right side
   1,142.33x = 844,110.83
5. Step 5: Solve for x
   x = 844,110.83/1,142.33
6. Step 6: Final answer
   x = 738.94