Finding the Fourth Proportional to 1,258.14, 1,736.52 and 698.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,258.14 : 1,736.52 = 698.81 : x
2. Step 2: Convert to fraction form
   1,258.14/1,736.52 = 698.81/x
3. Step 3: Cross multiply
   1,258.14x = 1,736.52 × 698.81
4. Step 4: Simplify right side
   1,258.14x = 1,213,488.86
5. Step 5: Solve for x
   x = 1,213,488.86/1,258.14
6. Step 6: Final answer
   x = 964.51