Finding the Fourth Proportional to 2,042.69, 3,064.13 and 582.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,042.69 : 3,064.13 = 582.05 : x
2. Step 2: Convert to fraction form
   2,042.69/3,064.13 = 582.05/x
3. Step 3: Cross multiply
   2,042.69x = 3,064.13 × 582.05
4. Step 4: Simplify right side
   2,042.69x = 1,783,483.80
5. Step 5: Solve for x
   x = 1,783,483.80/2,042.69
6. Step 6: Final answer
   x = 873.11