Finding the Fourth Proportional to 1,665.41, 2,297.89 and 966.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.41 : 2,297.89 = 966.38 : x
2. Step 2: Convert to fraction form
   1,665.41/2,297.89 = 966.38/x
3. Step 3: Cross multiply
   1,665.41x = 2,297.89 × 966.38
4. Step 4: Simplify right side
   1,665.41x = 2,220,624.66
5. Step 5: Solve for x
   x = 2,220,624.66/1,665.41
6. Step 6: Final answer
   x = 1,333.38