Finding the Fourth Proportional to 5,119.49, 7,678.37 and 1,422.09

Step by Step Solution

1. Step 1: Write the proportion equation
   5,119.49 : 7,678.37 = 1,422.09 : x
2. Step 2: Convert to fraction form
   5,119.49/7,678.37 = 1,422.09/x
3. Step 3: Cross multiply
   5,119.49x = 7,678.37 × 1,422.09
4. Step 4: Simplify right side
   5,119.49x = 10,919,333.19
5. Step 5: Solve for x
   x = 10,919,333.19/5,119.49
6. Step 6: Final answer
   x = 2,132.89