Finding the Fourth Proportional to 5,644.14, 8,449.56 and 3,557.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.14 : 8,449.56 = 3,557.76 : x
2. Step 2: Convert to fraction form
   5,644.14/8,449.56 = 3,557.76/x
3. Step 3: Cross multiply
   5,644.14x = 8,449.56 × 3,557.76
4. Step 4: Simplify right side
   5,644.14x = 30,061,506.59
5. Step 5: Solve for x
   x = 30,061,506.59/5,644.14
6. Step 6: Final answer
   x = 5,326.14