Finding the Fourth Proportional to 1,152.06, 1,589.86 and 628.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.06 : 1,589.86 = 628.12 : x
2. Step 2: Convert to fraction form
   1,152.06/1,589.86 = 628.12/x
3. Step 3: Cross multiply
   1,152.06x = 1,589.86 × 628.12
4. Step 4: Simplify right side
   1,152.06x = 998,622.86
5. Step 5: Solve for x
   x = 998,622.86/1,152.06
6. Step 6: Final answer
   x = 866.81