Finding the Fourth Proportional to 1,401.57, 1,934.25 and 772.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.57 : 1,934.25 = 772.14 : x
2. Step 2: Convert to fraction form
   1,401.57/1,934.25 = 772.14/x
3. Step 3: Cross multiply
   1,401.57x = 1,934.25 × 772.14
4. Step 4: Simplify right side
   1,401.57x = 1,493,511.80
5. Step 5: Solve for x
   x = 1,493,511.80/1,401.57
6. Step 6: Final answer
   x = 1,065.60