Finding the Fourth Proportional to 5,687.25, 7,849.22 and 5,438.18

Step by Step Solution

1. Step 1: Write the proportion equation
   5,687.25 : 7,849.22 = 5,438.18 : x
2. Step 2: Convert to fraction form
   5,687.25/7,849.22 = 5,438.18/x
3. Step 3: Cross multiply
   5,687.25x = 7,849.22 × 5,438.18
4. Step 4: Simplify right side
   5,687.25x = 42,685,404.78
5. Step 5: Solve for x
   x = 42,685,404.78/5,687.25
6. Step 6: Final answer
   x = 7,505.46