Finding the Fourth Proportional to 1,323.76, 1,826.55 and 764.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.76 : 1,826.55 = 764.25 : x
2. Step 2: Convert to fraction form
   1,323.76/1,826.55 = 764.25/x
3. Step 3: Cross multiply
   1,323.76x = 1,826.55 × 764.25
4. Step 4: Simplify right side
   1,323.76x = 1,395,940.84
5. Step 5: Solve for x
   x = 1,395,940.84/1,323.76
6. Step 6: Final answer
   x = 1,054.53