Finding the Fourth Proportional to 9,767.24, 13,477.82 and 5,459.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.24 : 13,477.82 = 5,459.52 : x
2. Step 2: Convert to fraction form
   9,767.24/13,477.82 = 5,459.52/x
3. Step 3: Cross multiply
   9,767.24x = 13,477.82 × 5,459.52
4. Step 4: Simplify right side
   9,767.24x = 73,582,427.85
5. Step 5: Solve for x
   x = 73,582,427.85/9,767.24
6. Step 6: Final answer
   x = 7,533.59