Finding the Fourth Proportional to 1,257.42, 1,735.16 and 697.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,257.42 : 1,735.16 = 697.86 : x
2. Step 2: Convert to fraction form
   1,257.42/1,735.16 = 697.86/x
3. Step 3: Cross multiply
   1,257.42x = 1,735.16 × 697.86
4. Step 4: Simplify right side
   1,257.42x = 1,210,895.27
5. Step 5: Solve for x
   x = 1,210,895.27/1,257.42
6. Step 6: Final answer
   x = 963.00