Finding the Fourth Proportional to 10,806.18, 16,205.55 and 5,255.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,806.18 : 16,205.55 = 5,255.97 : x
2. Step 2: Convert to fraction form
   10,806.18/16,205.55 = 5,255.97/x
3. Step 3: Cross multiply
   10,806.18x = 16,205.55 × 5,255.97
4. Step 4: Simplify right side
   10,806.18x = 85,175,884.63
5. Step 5: Solve for x
   x = 85,175,884.63/10,806.18
6. Step 6: Final answer
   x = 7,882.15