Finding the Fourth Proportional to 763.82, 1,145.52 and 353.15

Step by Step Solution

1. Step 1: Write the proportion equation
   763.82 : 1,145.52 = 353.15 : x
2. Step 2: Convert to fraction form
   763.82/1,145.52 = 353.15/x
3. Step 3: Cross multiply
   763.82x = 1,145.52 × 353.15
4. Step 4: Simplify right side
   763.82x = 404,540.39
5. Step 5: Solve for x
   x = 404,540.39/763.82
6. Step 6: Final answer
   x = 529.63