Finding the Fourth Proportional to 9,896.06, 13,656.63 and 5,419.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.06 : 13,656.63 = 5,419.83 : x
2. Step 2: Convert to fraction form
   9,896.06/13,656.63 = 5,419.83/x
3. Step 3: Cross multiply
   9,896.06x = 13,656.63 × 5,419.83
4. Step 4: Simplify right side
   9,896.06x = 74,016,612.97
5. Step 5: Solve for x
   x = 74,016,612.97/9,896.06
6. Step 6: Final answer
   x = 7,479.40