Finding the Fourth Proportional to 9,658.44, 13,328.01 and 5,408.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658.44 : 13,328.01 = 5,408.76 : x
2. Step 2: Convert to fraction form
   9,658.44/13,328.01 = 5,408.76/x
3. Step 3: Cross multiply
   9,658.44x = 13,328.01 × 5,408.76
4. Step 4: Simplify right side
   9,658.44x = 72,088,007.37
5. Step 5: Solve for x
   x = 72,088,007.37/9,658.44
6. Step 6: Final answer
   x = 7,463.73