Finding the Fourth Proportional to 9,896.83, 14,840.62 and 5,738.03

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.83 : 14,840.62 = 5,738.03 : x
2. Step 2: Convert to fraction form
   9,896.83/14,840.62 = 5,738.03/x
3. Step 3: Cross multiply
   9,896.83x = 14,840.62 × 5,738.03
4. Step 4: Simplify right side
   9,896.83x = 85,155,922.78
5. Step 5: Solve for x
   x = 85,155,922.78/9,896.83
6. Step 6: Final answer
   x = 8,604.36