Finding the Fourth Proportional to 9,119.69, 12,584.80 and 5,141.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,119.69 : 12,584.80 = 5,141.62 : x
2. Step 2: Convert to fraction form
   9,119.69/12,584.80 = 5,141.62/x
3. Step 3: Cross multiply
   9,119.69x = 12,584.80 × 5,141.62
4. Step 4: Simplify right side
   9,119.69x = 64,706,215.06
5. Step 5: Solve for x
   x = 64,706,215.06/9,119.69
6. Step 6: Final answer
   x = 7,095.22