Finding the Fourth Proportional to 10,406.46, 14,361.21 and 5,690.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.46 : 14,361.21 = 5,690.82 : x
2. Step 2: Convert to fraction form
   10,406.46/14,361.21 = 5,690.82/x
3. Step 3: Cross multiply
   10,406.46x = 14,361.21 × 5,690.82
4. Step 4: Simplify right side
   10,406.46x = 81,727,061.09
5. Step 5: Solve for x
   x = 81,727,061.09/10,406.46
6. Step 6: Final answer
   x = 7,853.49