Finding the Fourth Proportional to 1,406.75, 1,941.39 and 777.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.75 : 1,941.39 = 777.38 : x
2. Step 2: Convert to fraction form
   1,406.75/1,941.39 = 777.38/x
3. Step 3: Cross multiply
   1,406.75x = 1,941.39 × 777.38
4. Step 4: Simplify right side
   1,406.75x = 1,509,184.16
5. Step 5: Solve for x
   x = 1,509,184.16/1,406.75
6. Step 6: Final answer
   x = 1,072.82