Finding the Fourth Proportional to 1,151.52, 1,728 and 838.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.52 : 1,728 = 838.59 : x
2. Step 2: Convert to fraction form
   1,151.52/1,728 = 838.59/x
3. Step 3: Cross multiply
   1,151.52x = 1,728 × 838.59
4. Step 4: Simplify right side
   1,151.52x = 1,449,083.52
5. Step 5: Solve for x
   x = 1,449,083.52/1,151.52
6. Step 6: Final answer
   x = 1,258.41