Finding the Fourth Proportional to 9,896.24, 13,656.29 and 5,419.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.24 : 13,656.29 = 5,419.15 : x
2. Step 2: Convert to fraction form
   9,896.24/13,656.29 = 5,419.15/x
3. Step 3: Cross multiply
   9,896.24x = 13,656.29 × 5,419.15
4. Step 4: Simplify right side
   9,896.24x = 74,005,422.72
5. Step 5: Solve for x
   x = 74,005,422.72/9,896.24
6. Step 6: Final answer
   x = 7,478.13