Finding the Fourth Proportional to 10,276.50, 14,181.57 and 5,560.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,276.50 : 14,181.57 = 5,560.82 : x
2. Step 2: Convert to fraction form
   10,276.50/14,181.57 = 5,560.82/x
3. Step 3: Cross multiply
   10,276.50x = 14,181.57 × 5,560.82
4. Step 4: Simplify right side
   10,276.50x = 78,861,087.18
5. Step 5: Solve for x
   x = 78,861,087.18/10,276.50
6. Step 6: Final answer
   x = 7,673.92