Finding the Fourth Proportional to 2,002.86, 3,005.82 and 1,309.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.86 : 3,005.82 = 1,309.33 : x
2. Step 2: Convert to fraction form
   2,002.86/3,005.82 = 1,309.33/x
3. Step 3: Cross multiply
   2,002.86x = 3,005.82 × 1,309.33
4. Step 4: Simplify right side
   2,002.86x = 3,935,610.30
5. Step 5: Solve for x
   x = 3,935,610.30/2,002.86
6. Step 6: Final answer
   x = 1,965.00