Finding the Fourth Proportional to 3,697.71, 5,102.61 and 2,018.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.71 : 5,102.61 = 2,018.77 : x
2. Step 2: Convert to fraction form
   3,697.71/5,102.61 = 2,018.77/x
3. Step 3: Cross multiply
   3,697.71x = 5,102.61 × 2,018.77
4. Step 4: Simplify right side
   3,697.71x = 10,300,998.65
5. Step 5: Solve for x
   x = 10,300,998.65/3,697.71
6. Step 6: Final answer
   x = 2,785.78