Finding the Fourth Proportional to 1,739.69, 2,609.82 and 766.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,739.69 : 2,609.82 = 766.47 : x
2. Step 2: Convert to fraction form
   1,739.69/2,609.82 = 766.47/x
3. Step 3: Cross multiply
   1,739.69x = 2,609.82 × 766.47
4. Step 4: Simplify right side
   1,739.69x = 2,000,348.74
5. Step 5: Solve for x
   x = 2,000,348.74/1,739.69
6. Step 6: Final answer
   x = 1,149.83