Finding the Fourth Proportional to 9,656.78, 13,327.02 and 5,408.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,656.78 : 13,327.02 = 5,408.24 : x
2. Step 2: Convert to fraction form
   9,656.78/13,327.02 = 5,408.24/x
3. Step 3: Cross multiply
   9,656.78x = 13,327.02 × 5,408.24
4. Step 4: Simplify right side
   9,656.78x = 72,075,722.64
5. Step 5: Solve for x
   x = 72,075,722.64/9,656.78
6. Step 6: Final answer
   x = 7,463.74