Finding the Fourth Proportional to 9,340.56, 12,896.28 and 5,809.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,340.56 : 12,896.28 = 5,809.20 : x
2. Step 2: Convert to fraction form
   9,340.56/12,896.28 = 5,809.20/x
3. Step 3: Cross multiply
   9,340.56x = 12,896.28 × 5,809.20
4. Step 4: Simplify right side
   9,340.56x = 74,917,069.78
5. Step 5: Solve for x
   x = 74,917,069.78/9,340.56
6. Step 6: Final answer
   x = 8,020.62