Finding the Fourth Proportional to 5,644.50, 8,468.10 and 3,577.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.50 : 8,468.10 = 3,577.78 : x
2. Step 2: Convert to fraction form
   5,644.50/8,468.10 = 3,577.78/x
3. Step 3: Cross multiply
   5,644.50x = 8,468.10 × 3,577.78
4. Step 4: Simplify right side
   5,644.50x = 30,296,998.82
5. Step 5: Solve for x
   x = 30,296,998.82/5,644.50
6. Step 6: Final answer
   x = 5,367.53