Finding the Fourth Proportional to 6,443.74, 9,664.90 and 3,146.84

Step by Step Solution

1. Step 1: Write the proportion equation
   6,443.74 : 9,664.90 = 3,146.84 : x
2. Step 2: Convert to fraction form
   6,443.74/9,664.90 = 3,146.84/x
3. Step 3: Cross multiply
   6,443.74x = 9,664.90 × 3,146.84
4. Step 4: Simplify right side
   6,443.74x = 30,413,893.92
5. Step 5: Solve for x
   x = 30,413,893.92/6,443.74
6. Step 6: Final answer
   x = 4,719.91