Finding the Fourth Proportional to 9,553.72, 13,185.78 and 5,577.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,553.72 : 13,185.78 = 5,577.16 : x
2. Step 2: Convert to fraction form
   9,553.72/13,185.78 = 5,577.16/x
3. Step 3: Cross multiply
   9,553.72x = 13,185.78 × 5,577.16
4. Step 4: Simplify right side
   9,553.72x = 73,539,204.78
5. Step 5: Solve for x
   x = 73,539,204.78/9,553.72
6. Step 6: Final answer
   x = 7,697.44