Finding the Fourth Proportional to 1,196.89, 1,651.17 and 777.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.89 : 1,651.17 = 777.37 : x
2. Step 2: Convert to fraction form
   1,196.89/1,651.17 = 777.37/x
3. Step 3: Cross multiply
   1,196.89x = 1,651.17 × 777.37
4. Step 4: Simplify right side
   1,196.89x = 1,283,570.02
5. Step 5: Solve for x
   x = 1,283,570.02/1,196.89
6. Step 6: Final answer
   x = 1,072.42