Finding the Fourth Proportional to 2,006.42, 3,009.16 and 965.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.42 : 3,009.16 = 965.89 : x
2. Step 2: Convert to fraction form
   2,006.42/3,009.16 = 965.89/x
3. Step 3: Cross multiply
   2,006.42x = 3,009.16 × 965.89
4. Step 4: Simplify right side
   2,006.42x = 2,906,522.52
5. Step 5: Solve for x
   x = 2,906,522.52/2,006.42
6. Step 6: Final answer
   x = 1,448.61