Finding the Fourth Proportional to 1,006.72, 1,389.03 and 586.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.72 : 1,389.03 = 586.82 : x
2. Step 2: Convert to fraction form
   1,006.72/1,389.03 = 586.82/x
3. Step 3: Cross multiply
   1,006.72x = 1,389.03 × 586.82
4. Step 4: Simplify right side
   1,006.72x = 815,110.58
5. Step 5: Solve for x
   x = 815,110.58/1,006.72
6. Step 6: Final answer
   x = 809.67