Finding the Fourth Proportional to 9,658.42, 13,327.66 and 5,680.51

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658.42 : 13,327.66 = 5,680.51 : x
2. Step 2: Convert to fraction form
   9,658.42/13,327.66 = 5,680.51/x
3. Step 3: Cross multiply
   9,658.42x = 13,327.66 × 5,680.51
4. Step 4: Simplify right side
   9,658.42x = 75,707,905.91
5. Step 5: Solve for x
   x = 75,707,905.91/9,658.42
6. Step 6: Final answer
   x = 7,838.54