Finding the Fourth Proportional to 2,105.34, 3,158.03 and 806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.34 : 3,158.03 = 806.50 : x
2. Step 2: Convert to fraction form
   2,105.34/3,158.03 = 806.50/x
3. Step 3: Cross multiply
   2,105.34x = 3,158.03 × 806.50
4. Step 4: Simplify right side
   2,105.34x = 2,546,951.20
5. Step 5: Solve for x
   x = 2,546,951.20/2,105.34
6. Step 6: Final answer
   x = 1,209.76