Finding the Fourth Proportional to 5,638.57, 7,778.49 and 3,725.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,638.57 : 7,778.49 = 3,725.14 : x
2. Step 2: Convert to fraction form
   5,638.57/7,778.49 = 3,725.14/x
3. Step 3: Cross multiply
   5,638.57x = 7,778.49 × 3,725.14
4. Step 4: Simplify right side
   5,638.57x = 28,976,004.42
5. Step 5: Solve for x
   x = 28,976,004.42/5,638.57
6. Step 6: Final answer
   x = 5,138.89