Finding the Fourth Proportional to 1,256.34, 1,733.75 and 696.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.34 : 1,733.75 = 696.82 : x
2. Step 2: Convert to fraction form
   1,256.34/1,733.75 = 696.82/x
3. Step 3: Cross multiply
   1,256.34x = 1,733.75 × 696.82
4. Step 4: Simplify right side
   1,256.34x = 1,208,106.04
5. Step 5: Solve for x
   x = 1,208,106.04/1,256.34
6. Step 6: Final answer
   x = 961.61