Finding the Fourth Proportional to 9,896.00, 13,656.24 and 5,419.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.00 : 13,656.24 = 5,419.94 : x
2. Step 2: Convert to fraction form
   9,896.00/13,656.24 = 5,419.94/x
3. Step 3: Cross multiply
   9,896.00x = 13,656.24 × 5,419.94
4. Step 4: Simplify right side
   9,896.00x = 74,015,933.14
5. Step 5: Solve for x
   x = 74,015,933.14/9,896.00
6. Step 6: Final answer
   x = 7,479.38