Finding the Fourth Proportional to 2,806.42, 3,872.82 and 1,627.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,806.42 : 3,872.82 = 1,627.60 : x
2. Step 2: Convert to fraction form
   2,806.42/3,872.82 = 1,627.60/x
3. Step 3: Cross multiply
   2,806.42x = 3,872.82 × 1,627.60
4. Step 4: Simplify right side
   2,806.42x = 6,303,401.83
5. Step 5: Solve for x
   x = 6,303,401.83/2,806.42
6. Step 6: Final answer
   x = 2,246.07