Finding the Fourth Proportional to 1,151.79, 1,589.47 and 627.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.79 : 1,589.47 = 627.82 : x
2. Step 2: Convert to fraction form
   1,151.79/1,589.47 = 627.82/x
3. Step 3: Cross multiply
   1,151.79x = 1,589.47 × 627.82
4. Step 4: Simplify right side
   1,151.79x = 997,903.51
5. Step 5: Solve for x
   x = 997,903.51/1,151.79
6. Step 6: Final answer
   x = 866.39