Finding the Fourth Proportional to 2,431.42, 3,645.82 and 765.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,431.42 : 3,645.82 = 765.23 : x
2. Step 2: Convert to fraction form
   2,431.42/3,645.82 = 765.23/x
3. Step 3: Cross multiply
   2,431.42x = 3,645.82 × 765.23
4. Step 4: Simplify right side
   2,431.42x = 2,789,892.02
5. Step 5: Solve for x
   x = 2,789,892.02/2,431.42
6. Step 6: Final answer
   x = 1,147.43