Finding the Fourth Proportional to 9,771.72, 13,484.78 and 5,464.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,771.72 : 13,484.78 = 5,464.80 : x
2. Step 2: Convert to fraction form
   9,771.72/13,484.78 = 5,464.80/x
3. Step 3: Cross multiply
   9,771.72x = 13,484.78 × 5,464.80
4. Step 4: Simplify right side
   9,771.72x = 73,691,564.71
5. Step 5: Solve for x
   x = 73,691,564.71/9,771.72
6. Step 6: Final answer
   x = 7,541.31