Finding the Fourth Proportional to 9,433.82, 13,022.70 and 5,896.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,433.82 : 13,022.70 = 5,896.28 : x
2. Step 2: Convert to fraction form
   9,433.82/13,022.70 = 5,896.28/x
3. Step 3: Cross multiply
   9,433.82x = 13,022.70 × 5,896.28
4. Step 4: Simplify right side
   9,433.82x = 76,785,485.56
5. Step 5: Solve for x
   x = 76,785,485.56/9,433.82
6. Step 6: Final answer
   x = 8,139.38