Finding the Fourth Proportional to 1,659.82, 2,488.80 and 769.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,659.82 : 2,488.80 = 769.40 : x
2. Step 2: Convert to fraction form
   1,659.82/2,488.80 = 769.40/x
3. Step 3: Cross multiply
   1,659.82x = 2,488.80 × 769.40
4. Step 4: Simplify right side
   1,659.82x = 1,914,870.28
5. Step 5: Solve for x
   x = 1,914,870.28/1,659.82
6. Step 6: Final answer
   x = 1,153.66