Finding the Fourth Proportional to 1,336.55, 1,844.54 and 777.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,336.55 : 1,844.54 = 777.20 : x
2. Step 2: Convert to fraction form
   1,336.55/1,844.54 = 777.20/x
3. Step 3: Cross multiply
   1,336.55x = 1,844.54 × 777.20
4. Step 4: Simplify right side
   1,336.55x = 1,433,563.38
5. Step 5: Solve for x
   x = 1,433,563.38/1,336.55
6. Step 6: Final answer
   x = 1,072.59