Finding the Fourth Proportional to 1,323.50, 1,826.67 and 764.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.50 : 1,826.67 = 764.00 : x
2. Step 2: Convert to fraction form
   1,323.50/1,826.67 = 764.00/x
3. Step 3: Cross multiply
   1,323.50x = 1,826.67 × 764.00
4. Step 4: Simplify right side
   1,323.50x = 1,395,566.75
5. Step 5: Solve for x
   x = 1,395,566.75/1,323.50
6. Step 6: Final answer
   x = 1,054.45