Finding the Fourth Proportional to 1,196.54, 1,650.86 and 777.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.54 : 1,650.86 = 777.14 : x
2. Step 2: Convert to fraction form
   1,196.54/1,650.86 = 777.14/x
3. Step 3: Cross multiply
   1,196.54x = 1,650.86 × 777.14
4. Step 4: Simplify right side
   1,196.54x = 1,282,949.34
5. Step 5: Solve for x
   x = 1,282,949.34/1,196.54
6. Step 6: Final answer
   x = 1,072.22