Finding the Fourth Proportional to 1,151.25, 1,588.71 and 627.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.25 : 1,588.71 = 627.29 : x
2. Step 2: Convert to fraction form
   1,151.25/1,588.71 = 627.29/x
3. Step 3: Cross multiply
   1,151.25x = 1,588.71 × 627.29
4. Step 4: Simplify right side
   1,151.25x = 996,573.95
5. Step 5: Solve for x
   x = 996,573.95/1,151.25
6. Step 6: Final answer
   x = 865.65