Finding the Fourth Proportional to 9,715.82, 13,408.40 and 5,682.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,715.82 : 13,408.40 = 5,682.56 : x
2. Step 2: Convert to fraction form
   9,715.82/13,408.40 = 5,682.56/x
3. Step 3: Cross multiply
   9,715.82x = 13,408.40 × 5,682.56
4. Step 4: Simplify right side
   9,715.82x = 76,193,984.67
5. Step 5: Solve for x
   x = 76,193,984.67/9,715.82
6. Step 6: Final answer
   x = 7,842.26