Finding the Fourth Proportional to 6,464.34, 9,694.08 and 5,093.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,464.34 : 9,694.08 = 5,093.82 : x
2. Step 2: Convert to fraction form
   6,464.34/9,694.08 = 5,093.82/x
3. Step 3: Cross multiply
   6,464.34x = 9,694.08 × 5,093.82
4. Step 4: Simplify right side
   6,464.34x = 49,379,898.59
5. Step 5: Solve for x
   x = 49,379,898.59/6,464.34
6. Step 6: Final answer
   x = 7,638.82