Finding the Fourth Proportional to 1,223.82, 1,836.65 and 762.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,223.82 : 1,836.65 = 762.27 : x
2. Step 2: Convert to fraction form
   1,223.82/1,836.65 = 762.27/x
3. Step 3: Cross multiply
   1,223.82x = 1,836.65 × 762.27
4. Step 4: Simplify right side
   1,223.82x = 1,400,019.38
5. Step 5: Solve for x
   x = 1,400,019.38/1,223.82
6. Step 6: Final answer
   x = 1,143.97