Finding the Fourth Proportional to 1,739.25, 2,609.71 and 765.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,739.25 : 2,609.71 = 765.22 : x
2. Step 2: Convert to fraction form
   1,739.25/2,609.71 = 765.22/x
3. Step 3: Cross multiply
   1,739.25x = 2,609.71 × 765.22
4. Step 4: Simplify right side
   1,739.25x = 1,997,002.29
5. Step 5: Solve for x
   x = 1,997,002.29/1,739.25
6. Step 6: Final answer
   x = 1,148.20