Finding the Fourth Proportional to 1,287.69, 1,929.82 and 584.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,287.69 : 1,929.82 = 584.37 : x
2. Step 2: Convert to fraction form
   1,287.69/1,929.82 = 584.37/x
3. Step 3: Cross multiply
   1,287.69x = 1,929.82 × 584.37
4. Step 4: Simplify right side
   1,287.69x = 1,127,728.91
5. Step 5: Solve for x
   x = 1,127,728.91/1,287.69
6. Step 6: Final answer
   x = 875.78