Finding the Fourth Proportional to 9,896.84, 13,658.82 and 5,705

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.84 : 13,658.82 = 5,705 : x
2. Step 2: Convert to fraction form
   9,896.84/13,658.82 = 5,705/x
3. Step 3: Cross multiply
   9,896.84x = 13,658.82 × 5,705
4. Step 4: Simplify right side
   9,896.84x = 77,923,568.10
5. Step 5: Solve for x
   x = 77,923,568.10/9,896.84
6. Step 6: Final answer
   x = 7,873.58