Finding the Fourth Proportional to 1,401.27, 1,933.76 and 771.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.27 : 1,933.76 = 771.75 : x
2. Step 2: Convert to fraction form
   1,401.27/1,933.76 = 771.75/x
3. Step 3: Cross multiply
   1,401.27x = 1,933.76 × 771.75
4. Step 4: Simplify right side
   1,401.27x = 1,492,375.42
5. Step 5: Solve for x
   x = 1,492,375.42/1,401.27
6. Step 6: Final answer
   x = 1,065.02