Finding the Fourth Proportional to 6,851.16, 10,262.82 and 5,466.84

Step by Step Solution

1. Step 1: Write the proportion equation
   6,851.16 : 10,262.82 = 5,466.84 : x
2. Step 2: Convert to fraction form
   6,851.16/10,262.82 = 5,466.84/x
3. Step 3: Cross multiply
   6,851.16x = 10,262.82 × 5,466.84
4. Step 4: Simplify right side
   6,851.16x = 56,105,194.89
5. Step 5: Solve for x
   x = 56,105,194.89/6,851.16
6. Step 6: Final answer
   x = 8,189.15