Finding the Fourth Proportional to 9,896.64, 13,656.78 and 5,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.64 : 13,656.78 = 5,419.50 : x
2. Step 2: Convert to fraction form
   9,896.64/13,656.78 = 5,419.50/x
3. Step 3: Cross multiply
   9,896.64x = 13,656.78 × 5,419.50
4. Step 4: Simplify right side
   9,896.64x = 74,012,919.21
5. Step 5: Solve for x
   x = 74,012,919.21/9,896.64
6. Step 6: Final answer
   x = 7,478.59