Finding the Fourth Proportional to 9,658.42, 13,325.50 and 5,408.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658.42 : 13,325.50 = 5,408.84 : x
2. Step 2: Convert to fraction form
   9,658.42/13,325.50 = 5,408.84/x
3. Step 3: Cross multiply
   9,658.42x = 13,325.50 × 5,408.84
4. Step 4: Simplify right side
   9,658.42x = 72,075,497.42
5. Step 5: Solve for x
   x = 72,075,497.42/9,658.42
6. Step 6: Final answer
   x = 7,462.45