Finding the Fourth Proportional to 1,151.67, 1,589.31 and 627.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.67 : 1,589.31 = 627.72 : x
2. Step 2: Convert to fraction form
   1,151.67/1,589.31 = 627.72/x
3. Step 3: Cross multiply
   1,151.67x = 1,589.31 × 627.72
4. Step 4: Simplify right side
   1,151.67x = 997,641.67
5. Step 5: Solve for x
   x = 997,641.67/1,151.67
6. Step 6: Final answer
   x = 866.26