Finding the Fourth Proportional to 1,151.47, 1,589.03 and 627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.47 : 1,589.03 = 627.50 : x
2. Step 2: Convert to fraction form
   1,151.47/1,589.03 = 627.50/x
3. Step 3: Cross multiply
   1,151.47x = 1,589.03 × 627.50
4. Step 4: Simplify right side
   1,151.47x = 997,116.33
5. Step 5: Solve for x
   x = 997,116.33/1,151.47
6. Step 6: Final answer
   x = 865.95