Finding the Fourth Proportional to 1,323.85, 1,826.89 and 764.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.85 : 1,826.89 = 764.28 : x
2. Step 2: Convert to fraction form
   1,323.85/1,826.89 = 764.28/x
3. Step 3: Cross multiply
   1,323.85x = 1,826.89 × 764.28
4. Step 4: Simplify right side
   1,323.85x = 1,396,251.67
5. Step 5: Solve for x
   x = 1,396,251.67/1,323.85
6. Step 6: Final answer
   x = 1,054.69