Finding the Fourth Proportional to 6,825.32, 10,258.17 and 5,662.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,825.32 : 10,258.17 = 5,662.86 : x
2. Step 2: Convert to fraction form
   6,825.32/10,258.17 = 5,662.86/x
3. Step 3: Cross multiply
   6,825.32x = 10,258.17 × 5,662.86
4. Step 4: Simplify right side
   6,825.32x = 58,090,580.57
5. Step 5: Solve for x
   x = 58,090,580.57/6,825.32
6. Step 6: Final answer
   x = 8,511.05