Finding the Fourth Proportional to 1,006.88, 1,389.50 and 587.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.88 : 1,389.50 = 587.52 : x
2. Step 2: Convert to fraction form
   1,006.88/1,389.50 = 587.52/x
3. Step 3: Cross multiply
   1,006.88x = 1,389.50 × 587.52
4. Step 4: Simplify right side
   1,006.88x = 816,356.10
5. Step 5: Solve for x
   x = 816,356.10/1,006.88
6. Step 6: Final answer
   x = 810.78