Finding the Fourth Proportional to 1,400.78, 1,933.05 and 771.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,400.78 : 1,933.05 = 771.33 : x
2. Step 2: Convert to fraction form
   1,400.78/1,933.05 = 771.33/x
3. Step 3: Cross multiply
   1,400.78x = 1,933.05 × 771.33
4. Step 4: Simplify right side
   1,400.78x = 1,491,019.46
5. Step 5: Solve for x
   x = 1,491,019.46/1,400.78
6. Step 6: Final answer
   x = 1,064.42