Finding the Fourth Proportional to 9,216.82, 12,720.59 and 5,633.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,216.82 : 12,720.59 = 5,633.85 : x
2. Step 2: Convert to fraction form
   9,216.82/12,720.59 = 5,633.85/x
3. Step 3: Cross multiply
   9,216.82x = 12,720.59 × 5,633.85
4. Step 4: Simplify right side
   9,216.82x = 71,665,849.23
5. Step 5: Solve for x
   x = 71,665,849.23/9,216.82
6. Step 6: Final answer
   x = 7,775.55