Finding the Fourth Proportional to 697.12, 1,046.94 and 680.72

Step by Step Solution

1. Step 1: Write the proportion equation
   697.12 : 1,046.94 = 680.72 : x
2. Step 2: Convert to fraction form
   697.12/1,046.94 = 680.72/x
3. Step 3: Cross multiply
   697.12x = 1,046.94 × 680.72
4. Step 4: Simplify right side
   697.12x = 712,667.76
5. Step 5: Solve for x
   x = 712,667.76/697.12
6. Step 6: Final answer
   x = 1,022.31