Finding the Fourth Proportional to 1,401.28, 1,933.80 and 771.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.28 : 1,933.80 = 771.82 : x
2. Step 2: Convert to fraction form
   1,401.28/1,933.80 = 771.82/x
3. Step 3: Cross multiply
   1,401.28x = 1,933.80 × 771.82
4. Step 4: Simplify right side
   1,401.28x = 1,492,545.52
5. Step 5: Solve for x
   x = 1,492,545.52/1,401.28
6. Step 6: Final answer
   x = 1,065.13