Finding the Fourth Proportional to 2,765.67, 3,816.57 and 1,506.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,765.67 : 3,816.57 = 1,506.72 : x
2. Step 2: Convert to fraction form
   2,765.67/3,816.57 = 1,506.72/x
3. Step 3: Cross multiply
   2,765.67x = 3,816.57 × 1,506.72
4. Step 4: Simplify right side
   2,765.67x = 5,750,502.35
5. Step 5: Solve for x
   x = 5,750,502.35/2,765.67
6. Step 6: Final answer
   x = 2,079.24