Finding the Fourth Proportional to 1,152.09, 1,589.83 and 628.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.09 : 1,589.83 = 628.12 : x
2. Step 2: Convert to fraction form
   1,152.09/1,589.83 = 628.12/x
3. Step 3: Cross multiply
   1,152.09x = 1,589.83 × 628.12
4. Step 4: Simplify right side
   1,152.09x = 998,604.02
5. Step 5: Solve for x
   x = 998,604.02/1,152.09
6. Step 6: Final answer
   x = 866.78