Finding the Fourth Proportional to 1,096.19, 1,510.94 and 777.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.19 : 1,510.94 = 777.27 : x
2. Step 2: Convert to fraction form
   1,096.19/1,510.94 = 777.27/x
3. Step 3: Cross multiply
   1,096.19x = 1,510.94 × 777.27
4. Step 4: Simplify right side
   1,096.19x = 1,174,408.33
5. Step 5: Solve for x
   x = 1,174,408.33/1,096.19
6. Step 6: Final answer
   x = 1,071.35