Finding the Fourth Proportional to 9,896.05, 13,655.94 and 5,419.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.05 : 13,655.94 = 5,419.85 : x
2. Step 2: Convert to fraction form
   9,896.05/13,655.94 = 5,419.85/x
3. Step 3: Cross multiply
   9,896.05x = 13,655.94 × 5,419.85
4. Step 4: Simplify right side
   9,896.05x = 74,013,146.41
5. Step 5: Solve for x
   x = 74,013,146.41/9,896.05
6. Step 6: Final answer
   x = 7,479.06