Finding the Fourth Proportional to 2,005.50, 3,007.05 and 834.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.50 : 3,007.05 = 834.09 : x
2. Step 2: Convert to fraction form
   2,005.50/3,007.05 = 834.09/x
3. Step 3: Cross multiply
   2,005.50x = 3,007.05 × 834.09
4. Step 4: Simplify right side
   2,005.50x = 2,508,150.33
5. Step 5: Solve for x
   x = 2,508,150.33/2,005.50
6. Step 6: Final answer
   x = 1,250.64