Finding the Fourth Proportional to 1,196.76, 1,792.74 and 825.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.76 : 1,792.74 = 825.40 : x
2. Step 2: Convert to fraction form
   1,196.76/1,792.74 = 825.40/x
3. Step 3: Cross multiply
   1,196.76x = 1,792.74 × 825.40
4. Step 4: Simplify right side
   1,196.76x = 1,479,727.60
5. Step 5: Solve for x
   x = 1,479,727.60/1,196.76
6. Step 6: Final answer
   x = 1,236.44