Finding the Fourth Proportional to 2,007.84, 2,769.57 and 1,309.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.84 : 2,769.57 = 1,309.20 : x
2. Step 2: Convert to fraction form
   2,007.84/2,769.57 = 1,309.20/x
3. Step 3: Cross multiply
   2,007.84x = 2,769.57 × 1,309.20
4. Step 4: Simplify right side
   2,007.84x = 3,625,921.04
5. Step 5: Solve for x
   x = 3,625,921.04/2,007.84
6. Step 6: Final answer
   x = 1,805.88