Finding the Fourth Proportional to 2,680.20, 3,698.42 and 1,561.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,680.20 : 3,698.42 = 1,561.16 : x
2. Step 2: Convert to fraction form
   2,680.20/3,698.42 = 1,561.16/x
3. Step 3: Cross multiply
   2,680.20x = 3,698.42 × 1,561.16
4. Step 4: Simplify right side
   2,680.20x = 5,773,825.37
5. Step 5: Solve for x
   x = 5,773,825.37/2,680.20
6. Step 6: Final answer
   x = 2,154.25