Finding the Fourth Proportional to 1,151.66, 1,589.27 and 627.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.66 : 1,589.27 = 627.69 : x
2. Step 2: Convert to fraction form
   1,151.66/1,589.27 = 627.69/x
3. Step 3: Cross multiply
   1,151.66x = 1,589.27 × 627.69
4. Step 4: Simplify right side
   1,151.66x = 997,566.30
5. Step 5: Solve for x
   x = 997,566.30/1,151.66
6. Step 6: Final answer
   x = 866.20