Finding the Fourth Proportional to 9,657.05, 13,328.00 and 5,408.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,657.05 : 13,328.00 = 5,408.34 : x
2. Step 2: Convert to fraction form
   9,657.05/13,328.00 = 5,408.34/x
3. Step 3: Cross multiply
   9,657.05x = 13,328.00 × 5,408.34
4. Step 4: Simplify right side
   9,657.05x = 72,082,298.78
5. Step 5: Solve for x
   x = 72,082,298.78/9,657.05
6. Step 6: Final answer
   x = 7,464.22