Finding the Fourth Proportional to 9,895.61, 13,655.94 and 5,419.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,895.61 : 13,655.94 = 5,419.52 : x
2. Step 2: Convert to fraction form
   9,895.61/13,655.94 = 5,419.52/x
3. Step 3: Cross multiply
   9,895.61x = 13,655.94 × 5,419.52
4. Step 4: Simplify right side
   9,895.61x = 74,008,574.74
5. Step 5: Solve for x
   x = 74,008,574.74/9,895.61
6. Step 6: Final answer
   x = 7,478.93