Finding the Fourth Proportional to 3,697.14, 5,102.06 and 2,018.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.14 : 5,102.06 = 2,018.55 : x
2. Step 2: Convert to fraction form
   3,697.14/5,102.06 = 2,018.55/x
3. Step 3: Cross multiply
   3,697.14x = 5,102.06 × 2,018.55
4. Step 4: Simplify right side
   3,697.14x = 10,298,758.69
5. Step 5: Solve for x
   x = 10,298,758.69/3,697.14
6. Step 6: Final answer
   x = 2,785.60