Finding the Fourth Proportional to 9,895.69, 13,655.74 and 5,419.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,895.69 : 13,655.74 = 5,419.32 : x
2. Step 2: Convert to fraction form
   9,895.69/13,655.74 = 5,419.32/x
3. Step 3: Cross multiply
   9,895.69x = 13,655.74 × 5,419.32
4. Step 4: Simplify right side
   9,895.69x = 74,004,859.04
5. Step 5: Solve for x
   x = 74,004,859.04/9,895.69
6. Step 6: Final answer
   x = 7,478.50