Finding the Fourth Proportional to 1,323.49, 1,826.42 and 763.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.49 : 1,826.42 = 763.96 : x
2. Step 2: Convert to fraction form
   1,323.49/1,826.42 = 763.96/x
3. Step 3: Cross multiply
   1,323.49x = 1,826.42 × 763.96
4. Step 4: Simplify right side
   1,323.49x = 1,395,308.17
5. Step 5: Solve for x
   x = 1,395,308.17/1,323.49
6. Step 6: Final answer
   x = 1,054.26