Finding the Fourth Proportional to 1,405.35, 1,939.28 and 775.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.35 : 1,939.28 = 775.82 : x
2. Step 2: Convert to fraction form
   1,405.35/1,939.28 = 775.82/x
3. Step 3: Cross multiply
   1,405.35x = 1,939.28 × 775.82
4. Step 4: Simplify right side
   1,405.35x = 1,504,525.27
5. Step 5: Solve for x
   x = 1,504,525.27/1,405.35
6. Step 6: Final answer
   x = 1,070.57