Finding the Fourth Proportional to 2,119.69, 3,179.74 and 580.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,119.69 : 3,179.74 = 580.69 : x
2. Step 2: Convert to fraction form
   2,119.69/3,179.74 = 580.69/x
3. Step 3: Cross multiply
   2,119.69x = 3,179.74 × 580.69
4. Step 4: Simplify right side
   2,119.69x = 1,846,443.22
5. Step 5: Solve for x
   x = 1,846,443.22/2,119.69
6. Step 6: Final answer
   x = 871.09