Finding the Fourth Proportional to 10,600.56, 14,624.52 and 6,823

Step by Step Solution

1. Step 1: Write the proportion equation
   10,600.56 : 14,624.52 = 6,823 : x
2. Step 2: Convert to fraction form
   10,600.56/14,624.52 = 6,823/x
3. Step 3: Cross multiply
   10,600.56x = 14,624.52 × 6,823
4. Step 4: Simplify right side
   10,600.56x = 99,783,099.96
5. Step 5: Solve for x
   x = 99,783,099.96/10,600.56
6. Step 6: Final answer
   x = 9,413.00