Finding the Fourth Proportional to 2,002.78, 3,005.72 and 1,309.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.78 : 3,005.72 = 1,309.26 : x
2. Step 2: Convert to fraction form
   2,002.78/3,005.72 = 1,309.26/x
3. Step 3: Cross multiply
   2,002.78x = 3,005.72 × 1,309.26
4. Step 4: Simplify right side
   2,002.78x = 3,935,268.97
5. Step 5: Solve for x
   x = 3,935,268.97/2,002.78
6. Step 6: Final answer
   x = 1,964.90