Finding the Fourth Proportional to 1,407.41, 1,942.25 and 777.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.41 : 1,942.25 = 777.94 : x
2. Step 2: Convert to fraction form
   1,407.41/1,942.25 = 777.94/x
3. Step 3: Cross multiply
   1,407.41x = 1,942.25 × 777.94
4. Step 4: Simplify right side
   1,407.41x = 1,510,945.22
5. Step 5: Solve for x
   x = 1,510,945.22/1,407.41
6. Step 6: Final answer
   x = 1,073.57