Finding the Fourth Proportional to 6,819.84, 9,415.89 and 4,466.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,819.84 : 9,415.89 = 4,466.16 : x
2. Step 2: Convert to fraction form
   6,819.84/9,415.89 = 4,466.16/x
3. Step 3: Cross multiply
   6,819.84x = 9,415.89 × 4,466.16
4. Step 4: Simplify right side
   6,819.84x = 42,052,871.28
5. Step 5: Solve for x
   x = 42,052,871.28/6,819.84
6. Step 6: Final answer
   x = 6,166.25