Finding the Fourth Proportional to 1,206.69, 1,665.23 and 682.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206.69 : 1,665.23 = 682.82 : x
2. Step 2: Convert to fraction form
   1,206.69/1,665.23 = 682.82/x
3. Step 3: Cross multiply
   1,206.69x = 1,665.23 × 682.82
4. Step 4: Simplify right side
   1,206.69x = 1,137,052.35
5. Step 5: Solve for x
   x = 1,137,052.35/1,206.69
6. Step 6: Final answer
   x = 942.29