Finding the Fourth Proportional to 1,200.05, 1,798.77 and 582.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.05 : 1,798.77 = 582.38 : x
2. Step 2: Convert to fraction form
   1,200.05/1,798.77 = 582.38/x
3. Step 3: Cross multiply
   1,200.05x = 1,798.77 × 582.38
4. Step 4: Simplify right side
   1,200.05x = 1,047,558.68
5. Step 5: Solve for x
   x = 1,047,558.68/1,200.05
6. Step 6: Final answer
   x = 872.93