Finding the Fourth Proportional to 1,196.82, 1,792.74 and 786.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.82 : 1,792.74 = 786.15 : x
2. Step 2: Convert to fraction form
   1,196.82/1,792.74 = 786.15/x
3. Step 3: Cross multiply
   1,196.82x = 1,792.74 × 786.15
4. Step 4: Simplify right side
   1,196.82x = 1,409,362.55
5. Step 5: Solve for x
   x = 1,409,362.55/1,196.82
6. Step 6: Final answer
   x = 1,177.59