Finding the Fourth Proportional to 1,007.72, 1,390.59 and 582.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.72 : 1,390.59 = 582.37 : x
2. Step 2: Convert to fraction form
   1,007.72/1,390.59 = 582.37/x
3. Step 3: Cross multiply
   1,007.72x = 1,390.59 × 582.37
4. Step 4: Simplify right side
   1,007.72x = 809,834.42
5. Step 5: Solve for x
   x = 809,834.42/1,007.72
6. Step 6: Final answer
   x = 803.63