Finding the Fourth Proportional to 10,277.55, 14,183.06 and 5,561.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.55 : 14,183.06 = 5,561.83 : x
2. Step 2: Convert to fraction form
   10,277.55/14,183.06 = 5,561.83/x
3. Step 3: Cross multiply
   10,277.55x = 14,183.06 × 5,561.83
4. Step 4: Simplify right side
   10,277.55x = 78,883,694.56
5. Step 5: Solve for x
   x = 78,883,694.56/10,277.55
6. Step 6: Final answer
   x = 7,675.34