Finding the Fourth Proportional to 1,258.26, 1,736.01 and 734.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,258.26 : 1,736.01 = 734.10 : x
2. Step 2: Convert to fraction form
   1,258.26/1,736.01 = 734.10/x
3. Step 3: Cross multiply
   1,258.26x = 1,736.01 × 734.10
4. Step 4: Simplify right side
   1,258.26x = 1,274,404.94
5. Step 5: Solve for x
   x = 1,274,404.94/1,258.26
6. Step 6: Final answer
   x = 1,012.83