Finding the Fourth Proportional to 1,151.82, 1,589.56 and 627.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.82 : 1,589.56 = 627.88 : x
2. Step 2: Convert to fraction form
   1,151.82/1,589.56 = 627.88/x
3. Step 3: Cross multiply
   1,151.82x = 1,589.56 × 627.88
4. Step 4: Simplify right side
   1,151.82x = 998,052.93
5. Step 5: Solve for x
   x = 998,052.93/1,151.82
6. Step 6: Final answer
   x = 866.50