Finding the Fourth Proportional to 1,401.71, 1,934.33 and 772.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.71 : 1,934.33 = 772.29 : x
2. Step 2: Convert to fraction form
   1,401.71/1,934.33 = 772.29/x
3. Step 3: Cross multiply
   1,401.71x = 1,934.33 × 772.29
4. Step 4: Simplify right side
   1,401.71x = 1,493,859.85
5. Step 5: Solve for x
   x = 1,493,859.85/1,401.71
6. Step 6: Final answer
   x = 1,065.74