Finding the Fourth Proportional to 10,466.03, 14,443.38 and 5,685.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466.03 : 14,443.38 = 5,685.97 : x
2. Step 2: Convert to fraction form
   10,466.03/14,443.38 = 5,685.97/x
3. Step 3: Cross multiply
   10,466.03x = 14,443.38 × 5,685.97
4. Step 4: Simplify right side
   10,466.03x = 82,124,596.95
5. Step 5: Solve for x
   x = 82,124,596.95/10,466.03
6. Step 6: Final answer
   x = 7,846.78