Finding the Fourth Proportional to 6,857.01, 9,463.61 and 3,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,857.01 : 9,463.61 = 3,946.50 : x
2. Step 2: Convert to fraction form
   6,857.01/9,463.61 = 3,946.50/x
3. Step 3: Cross multiply
   6,857.01x = 9,463.61 × 3,946.50
4. Step 4: Simplify right side
   6,857.01x = 37,348,146.73
5. Step 5: Solve for x
   x = 37,348,146.73/6,857.01
6. Step 6: Final answer
   x = 5,446.71