Finding the Fourth Proportional to 1,007.01, 1,389.77 and 587.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.01 : 1,389.77 = 587.33 : x
2. Step 2: Convert to fraction form
   1,007.01/1,389.77 = 587.33/x
3. Step 3: Cross multiply
   1,007.01x = 1,389.77 × 587.33
4. Step 4: Simplify right side
   1,007.01x = 816,243.73
5. Step 5: Solve for x
   x = 816,243.73/1,007.01
6. Step 6: Final answer
   x = 810.56