Finding the Fourth Proportional to 5,896.78, 8,120.01 and 5,765.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,896.78 : 8,120.01 = 5,765.82 : x
2. Step 2: Convert to fraction form
   5,896.78/8,120.01 = 5,765.82/x
3. Step 3: Cross multiply
   5,896.78x = 8,120.01 × 5,765.82
4. Step 4: Simplify right side
   5,896.78x = 46,818,498.92
5. Step 5: Solve for x
   x = 46,818,498.92/5,896.78
6. Step 6: Final answer
   x = 7,939.67