Finding the Fourth Proportional to 9,670.70, 13,344.56 and 5,691.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,670.70 : 13,344.56 = 5,691.57 : x
2. Step 2: Convert to fraction form
   9,670.70/13,344.56 = 5,691.57/x
3. Step 3: Cross multiply
   9,670.70x = 13,344.56 × 5,691.57
4. Step 4: Simplify right side
   9,670.70x = 75,951,468.90
5. Step 5: Solve for x
   x = 75,951,468.90/9,670.70
6. Step 6: Final answer
   x = 7,853.78