Finding the Fourth Proportional to 2,609.25, 3,914.52 and 760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.25 : 3,914.52 = 760.50 : x
2. Step 2: Convert to fraction form
   2,609.25/3,914.52 = 760.50/x
3. Step 3: Cross multiply
   2,609.25x = 3,914.52 × 760.50
4. Step 4: Simplify right side
   2,609.25x = 2,976,992.46
5. Step 5: Solve for x
   x = 2,976,992.46/2,609.25
6. Step 6: Final answer
   x = 1,140.94