Finding the Fourth Proportional to 6,282.46, 9,415.60 and 3,320.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,282.46 : 9,415.60 = 3,320.78 : x
2. Step 2: Convert to fraction form
   6,282.46/9,415.60 = 3,320.78/x
3. Step 3: Cross multiply
   6,282.46x = 9,415.60 × 3,320.78
4. Step 4: Simplify right side
   6,282.46x = 31,267,196.82
5. Step 5: Solve for x
   x = 31,267,196.82/6,282.46
6. Step 6: Final answer
   x = 4,976.90