Finding the Fourth Proportional to 1,194.68, 1,648.98 and 697.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.68 : 1,648.98 = 697.52 : x
2. Step 2: Convert to fraction form
   1,194.68/1,648.98 = 697.52/x
3. Step 3: Cross multiply
   1,194.68x = 1,648.98 × 697.52
4. Step 4: Simplify right side
   1,194.68x = 1,150,196.53
5. Step 5: Solve for x
   x = 1,150,196.53/1,194.68
6. Step 6: Final answer
   x = 962.77