Finding the Fourth Proportional to 6,589.90, 9,096.71 and 3,936.81

Step by Step Solution

1. Step 1: Write the proportion equation
   6,589.90 : 9,096.71 = 3,936.81 : x
2. Step 2: Convert to fraction form
   6,589.90/9,096.71 = 3,936.81/x
3. Step 3: Cross multiply
   6,589.90x = 9,096.71 × 3,936.81
4. Step 4: Simplify right side
   6,589.90x = 35,812,033.32
5. Step 5: Solve for x
   x = 35,812,033.32/6,589.90
6. Step 6: Final answer
   x = 5,434.38