Finding the Fourth Proportional to 1,257.59, 1,735.47 and 698.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,257.59 : 1,735.47 = 698.05 : x
2. Step 2: Convert to fraction form
   1,257.59/1,735.47 = 698.05/x
3. Step 3: Cross multiply
   1,257.59x = 1,735.47 × 698.05
4. Step 4: Simplify right side
   1,257.59x = 1,211,444.83
5. Step 5: Solve for x
   x = 1,211,444.83/1,257.59
6. Step 6: Final answer
   x = 963.31