Finding the Fourth Proportional to 1,194.56, 1,648.16 and 697.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.56 : 1,648.16 = 697.12 : x
2. Step 2: Convert to fraction form
   1,194.56/1,648.16 = 697.12/x
3. Step 3: Cross multiply
   1,194.56x = 1,648.16 × 697.12
4. Step 4: Simplify right side
   1,194.56x = 1,148,965.30
5. Step 5: Solve for x
   x = 1,148,965.30/1,194.56
6. Step 6: Final answer
   x = 961.83