Finding the Fourth Proportional to 3,694.68, 5,098.50 and 2,016.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,694.68 : 5,098.50 = 2,016.05 : x
2. Step 2: Convert to fraction form
   3,694.68/5,098.50 = 2,016.05/x
3. Step 3: Cross multiply
   3,694.68x = 5,098.50 × 2,016.05
4. Step 4: Simplify right side
   3,694.68x = 10,278,805.43
5. Step 5: Solve for x
   x = 10,278,805.43/3,694.68
6. Step 6: Final answer
   x = 2,782.06