Finding the Fourth Proportional to 9,896.90, 14,840.71 and 5,738.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.90 : 14,840.71 = 5,738.09 : x
2. Step 2: Convert to fraction form
   9,896.90/14,840.71 = 5,738.09/x
3. Step 3: Cross multiply
   9,896.90x = 14,840.71 × 5,738.09
4. Step 4: Simplify right side
   9,896.90x = 85,157,241.10
5. Step 5: Solve for x
   x = 85,157,241.10/9,896.90
6. Step 6: Final answer
   x = 8,604.44