Finding the Fourth Proportional to 3,697.38, 5,102.42 and 2,018.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.38 : 5,102.42 = 2,018.75 : x
2. Step 2: Convert to fraction form
   3,697.38/5,102.42 = 2,018.75/x
3. Step 3: Cross multiply
   3,697.38x = 5,102.42 × 2,018.75
4. Step 4: Simplify right side
   3,697.38x = 10,300,474.77
5. Step 5: Solve for x
   x = 10,300,474.77/3,697.38
6. Step 6: Final answer
   x = 2,785.88