Finding the Fourth Proportional to 1,401.68, 1,934.42 and 772.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.68 : 1,934.42 = 772.23 : x
2. Step 2: Convert to fraction form
   1,401.68/1,934.42 = 772.23/x
3. Step 3: Cross multiply
   1,401.68x = 1,934.42 × 772.23
4. Step 4: Simplify right side
   1,401.68x = 1,493,817.16
5. Step 5: Solve for x
   x = 1,493,817.16/1,401.68
6. Step 6: Final answer
   x = 1,065.73