Finding the Fourth Proportional to 1,374.74, 1,896.72 and 777.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.74 : 1,896.72 = 777.14 : x
2. Step 2: Convert to fraction form
   1,374.74/1,896.72 = 777.14/x
3. Step 3: Cross multiply
   1,374.74x = 1,896.72 × 777.14
4. Step 4: Simplify right side
   1,374.74x = 1,474,016.98
5. Step 5: Solve for x
   x = 1,474,016.98/1,374.74
6. Step 6: Final answer
   x = 1,072.22