Finding the Fourth Proportional to 2,325.50, 3,488.42 and 765.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,325.50 : 3,488.42 = 765.10 : x
2. Step 2: Convert to fraction form
   2,325.50/3,488.42 = 765.10/x
3. Step 3: Cross multiply
   2,325.50x = 3,488.42 × 765.10
4. Step 4: Simplify right side
   2,325.50x = 2,668,990.14
5. Step 5: Solve for x
   x = 2,668,990.14/2,325.50
6. Step 6: Final answer
   x = 1,147.71