Finding the Fourth Proportional to 6,896.39, 10,338.43 and 5,735.91

Step by Step Solution

1. Step 1: Write the proportion equation
   6,896.39 : 10,338.43 = 5,735.91 : x
2. Step 2: Convert to fraction form
   6,896.39/10,338.43 = 5,735.91/x
3. Step 3: Cross multiply
   6,896.39x = 10,338.43 × 5,735.91
4. Step 4: Simplify right side
   6,896.39x = 59,300,249.50
5. Step 5: Solve for x
   x = 59,300,249.50/6,896.39
6. Step 6: Final answer
   x = 8,598.74