Finding the Fourth Proportional to 10,277.88, 14,183.47 and 5,562.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.88 : 14,183.47 = 5,562.16 : x
2. Step 2: Convert to fraction form
   10,277.88/14,183.47 = 5,562.16/x
3. Step 3: Cross multiply
   10,277.88x = 14,183.47 × 5,562.16
4. Step 4: Simplify right side
   10,277.88x = 78,890,729.50
5. Step 5: Solve for x
   x = 78,890,729.50/10,277.88
6. Step 6: Final answer
   x = 7,675.78