Finding the Fourth Proportional to 1,194.57, 1,648.61 and 697.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.57 : 1,648.61 = 697.37 : x
2. Step 2: Convert to fraction form
   1,194.57/1,648.61 = 697.37/x
3. Step 3: Cross multiply
   1,194.57x = 1,648.61 × 697.37
4. Step 4: Simplify right side
   1,194.57x = 1,149,686.68
5. Step 5: Solve for x
   x = 1,149,686.68/1,194.57
6. Step 6: Final answer
   x = 962.43