Finding the Fourth Proportional to 1,401.69, 1,934.34 and 772.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.69 : 1,934.34 = 772.28 : x
2. Step 2: Convert to fraction form
   1,401.69/1,934.34 = 772.28/x
3. Step 3: Cross multiply
   1,401.69x = 1,934.34 × 772.28
4. Step 4: Simplify right side
   1,401.69x = 1,493,846.78
5. Step 5: Solve for x
   x = 1,493,846.78/1,401.69
6. Step 6: Final answer
   x = 1,065.74