Finding the Fourth Proportional to 1,151.83, 1,589.52 and 627.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.83 : 1,589.52 = 627.86 : x
2. Step 2: Convert to fraction form
   1,151.83/1,589.52 = 627.86/x
3. Step 3: Cross multiply
   1,151.83x = 1,589.52 × 627.86
4. Step 4: Simplify right side
   1,151.83x = 997,993.41
5. Step 5: Solve for x
   x = 997,993.41/1,151.83
6. Step 6: Final answer
   x = 866.44