Finding the Fourth Proportional to 1,678.82, 2,518.47 and 582.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,678.82 : 2,518.47 = 582.89 : x
2. Step 2: Convert to fraction form
   1,678.82/2,518.47 = 582.89/x
3. Step 3: Cross multiply
   1,678.82x = 2,518.47 × 582.89
4. Step 4: Simplify right side
   1,678.82x = 1,467,978.39
5. Step 5: Solve for x
   x = 1,467,978.39/1,678.82
6. Step 6: Final answer
   x = 874.41