Finding the Fourth Proportional to 2,325.38, 3,488.59 and 765.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,325.38 : 3,488.59 = 765.32 : x
2. Step 2: Convert to fraction form
   2,325.38/3,488.59 = 765.32/x
3. Step 3: Cross multiply
   2,325.38x = 3,488.59 × 765.32
4. Step 4: Simplify right side
   2,325.38x = 2,669,894.51
5. Step 5: Solve for x
   x = 2,669,894.51/2,325.38
6. Step 6: Final answer
   x = 1,148.15