Finding the Fourth Proportional to 1,401.65, 1,934.30 and 772.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.65 : 1,934.30 = 772.19 : x
2. Step 2: Convert to fraction form
   1,401.65/1,934.30 = 772.19/x
3. Step 3: Cross multiply
   1,401.65x = 1,934.30 × 772.19
4. Step 4: Simplify right side
   1,401.65x = 1,493,648.09
5. Step 5: Solve for x
   x = 1,493,648.09/1,401.65
6. Step 6: Final answer
   x = 1,065.63