Finding the Fourth Proportional to 10,277.96, 14,183.63 and 5,562.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.96 : 14,183.63 = 5,562.24 : x
2. Step 2: Convert to fraction form
   10,277.96/14,183.63 = 5,562.24/x
3. Step 3: Cross multiply
   10,277.96x = 14,183.63 × 5,562.24
4. Step 4: Simplify right side
   10,277.96x = 78,892,752.57
5. Step 5: Solve for x
   x = 78,892,752.57/10,277.96
6. Step 6: Final answer
   x = 7,675.92