Finding the Fourth Proportional to 9,667.62, 13,342.25 and 5,419.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.62 : 13,342.25 = 5,419.40 : x
2. Step 2: Convert to fraction form
   9,667.62/13,342.25 = 5,419.40/x
3. Step 3: Cross multiply
   9,667.62x = 13,342.25 × 5,419.40
4. Step 4: Simplify right side
   9,667.62x = 72,306,989.65
5. Step 5: Solve for x
   x = 72,306,989.65/9,667.62
6. Step 6: Final answer
   x = 7,479.30