Finding the Fourth Proportional to 1,206.38, 1,665.11 and 682.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206.38 : 1,665.11 = 682.71 : x
2. Step 2: Convert to fraction form
   1,206.38/1,665.11 = 682.71/x
3. Step 3: Cross multiply
   1,206.38x = 1,665.11 × 682.71
4. Step 4: Simplify right side
   1,206.38x = 1,136,783.83
5. Step 5: Solve for x
   x = 1,136,783.83/1,206.38
6. Step 6: Final answer
   x = 942.31