Finding the Fourth Proportional to 1,256.31, 1,733.69 and 696.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.31 : 1,733.69 = 696.78 : x
2. Step 2: Convert to fraction form
   1,256.31/1,733.69 = 696.78/x
3. Step 3: Cross multiply
   1,256.31x = 1,733.69 × 696.78
4. Step 4: Simplify right side
   1,256.31x = 1,207,997.38
5. Step 5: Solve for x
   x = 1,207,997.38/1,256.31
6. Step 6: Final answer
   x = 961.55