Finding the Fourth Proportional to 5,667.57, 7,825.14 and 3,544.02

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.57 : 7,825.14 = 3,544.02 : x
2. Step 2: Convert to fraction form
   5,667.57/7,825.14 = 3,544.02/x
3. Step 3: Cross multiply
   5,667.57x = 7,825.14 × 3,544.02
4. Step 4: Simplify right side
   5,667.57x = 27,732,452.66
5. Step 5: Solve for x
   x = 27,732,452.66/5,667.57
6. Step 6: Final answer
   x = 4,893.18