Finding the Fourth Proportional to 6,274.16, 9,411.82 and 4,478.46

Step by Step Solution

1. Step 1: Write the proportion equation
   6,274.16 : 9,411.82 = 4,478.46 : x
2. Step 2: Convert to fraction form
   6,274.16/9,411.82 = 4,478.46/x
3. Step 3: Cross multiply
   6,274.16x = 9,411.82 × 4,478.46
4. Step 4: Simplify right side
   6,274.16x = 42,150,504.91
5. Step 5: Solve for x
   x = 42,150,504.91/6,274.16
6. Step 6: Final answer
   x = 6,718.11