Finding the Fourth Proportional to 1,258.50, 1,736.76 and 734.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,258.50 : 1,736.76 = 734.82 : x
2. Step 2: Convert to fraction form
   1,258.50/1,736.76 = 734.82/x
3. Step 3: Cross multiply
   1,258.50x = 1,736.76 × 734.82
4. Step 4: Simplify right side
   1,258.50x = 1,276,205.98
5. Step 5: Solve for x
   x = 1,276,205.98/1,258.50
6. Step 6: Final answer
   x = 1,014.07