Finding the Fourth Proportional to 1,665.24, 2,297.61 and 966.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.24 : 2,297.61 = 966.21 : x
2. Step 2: Convert to fraction form
   1,665.24/2,297.61 = 966.21/x
3. Step 3: Cross multiply
   1,665.24x = 2,297.61 × 966.21
4. Step 4: Simplify right side
   1,665.24x = 2,219,973.76
5. Step 5: Solve for x
   x = 2,219,973.76/1,665.24
6. Step 6: Final answer
   x = 1,333.13