Finding the Fourth Proportional to 1,301.89, 1,796.56 and 777.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.89 : 1,796.56 = 777.55 : x
2. Step 2: Convert to fraction form
   1,301.89/1,796.56 = 777.55/x
3. Step 3: Cross multiply
   1,301.89x = 1,796.56 × 777.55
4. Step 4: Simplify right side
   1,301.89x = 1,396,915.23
5. Step 5: Solve for x
   x = 1,396,915.23/1,301.89
6. Step 6: Final answer
   x = 1,072.99