Finding the Fourth Proportional to 2,644.14, 3,965.94 and 1,002

Step by Step Solution

1. Step 1: Write the proportion equation
   2,644.14 : 3,965.94 = 1,002 : x
2. Step 2: Convert to fraction form
   2,644.14/3,965.94 = 1,002/x
3. Step 3: Cross multiply
   2,644.14x = 3,965.94 × 1,002
4. Step 4: Simplify right side
   2,644.14x = 3,973,871.88
5. Step 5: Solve for x
   x = 3,973,871.88/2,644.14
6. Step 6: Final answer
   x = 1,502.90