Finding the Fourth Proportional to 1,405.32, 1,939.41 and 775.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.32 : 1,939.41 = 775.85 : x
2. Step 2: Convert to fraction form
   1,405.32/1,939.41 = 775.85/x
3. Step 3: Cross multiply
   1,405.32x = 1,939.41 × 775.85
4. Step 4: Simplify right side
   1,405.32x = 1,504,681.55
5. Step 5: Solve for x
   x = 1,504,681.55/1,405.32
6. Step 6: Final answer
   x = 1,070.71