Finding the Fourth Proportional to 6,823.82, 10,235.69 and 5,896.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,823.82 : 10,235.69 = 5,896.56 : x
2. Step 2: Convert to fraction form
   6,823.82/10,235.69 = 5,896.56/x
3. Step 3: Cross multiply
   6,823.82x = 10,235.69 × 5,896.56
4. Step 4: Simplify right side
   6,823.82x = 60,355,360.23
5. Step 5: Solve for x
   x = 60,355,360.23/6,823.82
6. Step 6: Final answer
   x = 8,844.81