Finding the Fourth Proportional to 10,282.71, 14,190.78 and 5,804.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.71 : 14,190.78 = 5,804.82 : x
2. Step 2: Convert to fraction form
   10,282.71/14,190.78 = 5,804.82/x
3. Step 3: Cross multiply
   10,282.71x = 14,190.78 × 5,804.82
4. Step 4: Simplify right side
   10,282.71x = 82,374,923.56
5. Step 5: Solve for x
   x = 82,374,923.56/10,282.71
6. Step 6: Final answer
   x = 8,011.01