Finding the Fourth Proportional to 1,805.46, 2,706.66 and 766.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,805.46 : 2,706.66 = 766.28 : x
2. Step 2: Convert to fraction form
   1,805.46/2,706.66 = 766.28/x
3. Step 3: Cross multiply
   1,805.46x = 2,706.66 × 766.28
4. Step 4: Simplify right side
   1,805.46x = 2,074,045.89
5. Step 5: Solve for x
   x = 2,074,045.89/1,805.46
6. Step 6: Final answer
   x = 1,148.76