Finding the Fourth Proportional to 2,326.28, 3,489.89 and 766.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,326.28 : 3,489.89 = 766.35 : x
2. Step 2: Convert to fraction form
   2,326.28/3,489.89 = 766.35/x
3. Step 3: Cross multiply
   2,326.28x = 3,489.89 × 766.35
4. Step 4: Simplify right side
   2,326.28x = 2,674,473.37
5. Step 5: Solve for x
   x = 2,674,473.37/2,326.28
6. Step 6: Final answer
   x = 1,149.68