Finding the Fourth Proportional to 2,765.83, 3,816.71 and 1,506.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,765.83 : 3,816.71 = 1,506.80 : x
2. Step 2: Convert to fraction form
   2,765.83/3,816.71 = 1,506.80/x
3. Step 3: Cross multiply
   2,765.83x = 3,816.71 × 1,506.80
4. Step 4: Simplify right side
   2,765.83x = 5,751,020.64
5. Step 5: Solve for x
   x = 5,751,020.64/2,765.83
6. Step 6: Final answer
   x = 2,079.31