Finding the Fourth Proportional to 3,758.34, 5,140.49 and 3,697.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,758.34 : 5,140.49 = 3,697.86 : x
2. Step 2: Convert to fraction form
   3,758.34/5,140.49 = 3,697.86/x
3. Step 3: Cross multiply
   3,758.34x = 5,140.49 × 3,697.86
4. Step 4: Simplify right side
   3,758.34x = 19,008,793.86
5. Step 5: Solve for x
   x = 19,008,793.86/3,758.34
6. Step 6: Final answer
   x = 5,057.76