Finding the Fourth Proportional to 6,485.94, 9,734.31 and 3,815.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,485.94 : 9,734.31 = 3,815.10 : x
2. Step 2: Convert to fraction form
   6,485.94/9,734.31 = 3,815.10/x
3. Step 3: Cross multiply
   6,485.94x = 9,734.31 × 3,815.10
4. Step 4: Simplify right side
   6,485.94x = 37,137,366.08
5. Step 5: Solve for x
   x = 37,137,366.08/6,485.94
6. Step 6: Final answer
   x = 5,725.83