Finding the Fourth Proportional to 1,256.57, 1,734.00 and 697.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.57 : 1,734.00 = 697.01 : x
2. Step 2: Convert to fraction form
   1,256.57/1,734.00 = 697.01/x
3. Step 3: Cross multiply
   1,256.57x = 1,734.00 × 697.01
4. Step 4: Simplify right side
   1,256.57x = 1,208,613.81
5. Step 5: Solve for x
   x = 1,208,613.81/1,256.57
6. Step 6: Final answer
   x = 961.83