Finding the Fourth Proportional to 3,872.24, 5,806.56 and 1,562

Step by Step Solution

1. Step 1: Write the proportion equation
   3,872.24 : 5,806.56 = 1,562 : x
2. Step 2: Convert to fraction form
   3,872.24/5,806.56 = 1,562/x
3. Step 3: Cross multiply
   3,872.24x = 5,806.56 × 1,562
4. Step 4: Simplify right side
   3,872.24x = 9,069,846.72
5. Step 5: Solve for x
   x = 9,069,846.72/3,872.24
6. Step 6: Final answer
   x = 2,342.27