Finding the Fourth Proportional to 1,151.86, 1,589.55 and 627.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.86 : 1,589.55 = 627.88 : x
2. Step 2: Convert to fraction form
   1,151.86/1,589.55 = 627.88/x
3. Step 3: Cross multiply
   1,151.86x = 1,589.55 × 627.88
4. Step 4: Simplify right side
   1,151.86x = 998,038.71
5. Step 5: Solve for x
   x = 998,038.71/1,151.86
6. Step 6: Final answer
   x = 866.46