Finding the Fourth Proportional to 9,885.94, 13,642.58 and 5,409.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,885.94 : 13,642.58 = 5,409.69 : x
2. Step 2: Convert to fraction form
   9,885.94/13,642.58 = 5,409.69/x
3. Step 3: Cross multiply
   9,885.94x = 13,642.58 × 5,409.69
4. Step 4: Simplify right side
   9,885.94x = 73,802,033.34
5. Step 5: Solve for x
   x = 73,802,033.34/9,885.94
6. Step 6: Final answer
   x = 7,465.36