Finding the Fourth Proportional to 2,772.75, 3,825.81 and 1,561.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,772.75 : 3,825.81 = 1,561.47 : x
2. Step 2: Convert to fraction form
   2,772.75/3,825.81 = 1,561.47/x
3. Step 3: Cross multiply
   2,772.75x = 3,825.81 × 1,561.47
4. Step 4: Simplify right side
   2,772.75x = 5,973,887.54
5. Step 5: Solve for x
   x = 5,973,887.54/2,772.75
6. Step 6: Final answer
   x = 2,154.50