Finding the Fourth Proportional to 9,895.78, 13,656.16 and 5,419.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,895.78 : 13,656.16 = 5,419.54 : x
2. Step 2: Convert to fraction form
   9,895.78/13,656.16 = 5,419.54/x
3. Step 3: Cross multiply
   9,895.78x = 13,656.16 × 5,419.54
4. Step 4: Simplify right side
   9,895.78x = 74,010,037.09
5. Step 5: Solve for x
   x = 74,010,037.09/9,895.78
6. Step 6: Final answer
   x = 7,478.95