Finding the Fourth Proportional to 2,680.30, 3,698.49 and 1,561.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,680.30 : 3,698.49 = 1,561.42 : x
2. Step 2: Convert to fraction form
   2,680.30/3,698.49 = 1,561.42/x
3. Step 3: Cross multiply
   2,680.30x = 3,698.49 × 1,561.42
4. Step 4: Simplify right side
   2,680.30x = 5,774,896.26
5. Step 5: Solve for x
   x = 5,774,896.26/2,680.30
6. Step 6: Final answer
   x = 2,154.57