Finding the Fourth Proportional to 2,765.41, 3,816.25 and 1,506.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,765.41 : 3,816.25 = 1,506.54 : x
2. Step 2: Convert to fraction form
   2,765.41/3,816.25 = 1,506.54/x
3. Step 3: Cross multiply
   2,765.41x = 3,816.25 × 1,506.54
4. Step 4: Simplify right side
   2,765.41x = 5,749,333.28
5. Step 5: Solve for x
   x = 5,749,333.28/2,765.41
6. Step 6: Final answer
   x = 2,079.02