Finding the Fourth Proportional to 6,406.93, 9,616.38 and 3,946.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,406.93 : 9,616.38 = 3,946.56 : x
2. Step 2: Convert to fraction form
   6,406.93/9,616.38 = 3,946.56/x
3. Step 3: Cross multiply
   6,406.93x = 9,616.38 × 3,946.56
4. Step 4: Simplify right side
   6,406.93x = 37,951,620.65
5. Step 5: Solve for x
   x = 37,951,620.65/6,406.93
6. Step 6: Final answer
   x = 5,923.53