Finding the Fourth Proportional to 1,206.50, 1,664.82 and 682.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206.50 : 1,664.82 = 682.43 : x
2. Step 2: Convert to fraction form
   1,206.50/1,664.82 = 682.43/x
3. Step 3: Cross multiply
   1,206.50x = 1,664.82 × 682.43
4. Step 4: Simplify right side
   1,206.50x = 1,136,114.79
5. Step 5: Solve for x
   x = 1,136,114.79/1,206.50
6. Step 6: Final answer
   x = 941.67