Finding the Fourth Proportional to 1,406.82, 1,941.30 and 777.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.82 : 1,941.30 = 777.39 : x
2. Step 2: Convert to fraction form
   1,406.82/1,941.30 = 777.39/x
3. Step 3: Cross multiply
   1,406.82x = 1,941.30 × 777.39
4. Step 4: Simplify right side
   1,406.82x = 1,509,147.21
5. Step 5: Solve for x
   x = 1,509,147.21/1,406.82
6. Step 6: Final answer
   x = 1,072.74