Finding the Fourth Proportional to 9,885.69, 13,642.16 and 5,409.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,885.69 : 13,642.16 = 5,409.39 : x
2. Step 2: Convert to fraction form
   9,885.69/13,642.16 = 5,409.39/x
3. Step 3: Cross multiply
   9,885.69x = 13,642.16 × 5,409.39
4. Step 4: Simplify right side
   9,885.69x = 73,795,736.84
5. Step 5: Solve for x
   x = 73,795,736.84/9,885.69
6. Step 6: Final answer
   x = 7,464.91