Finding the Fourth Proportional to 6,823.56, 10,224.37 and 5,730.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,823.56 : 10,224.37 = 5,730.06 : x
2. Step 2: Convert to fraction form
   6,823.56/10,224.37 = 5,730.06/x
3. Step 3: Cross multiply
   6,823.56x = 10,224.37 × 5,730.06
4. Step 4: Simplify right side
   6,823.56x = 58,586,253.56
5. Step 5: Solve for x
   x = 58,586,253.56/6,823.56
6. Step 6: Final answer
   x = 8,585.88