Finding the Fourth Proportional to 2,506.72, 3,760.28 and 776.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.72 : 3,760.28 = 776.56 : x
2. Step 2: Convert to fraction form
   2,506.72/3,760.28 = 776.56/x
3. Step 3: Cross multiply
   2,506.72x = 3,760.28 × 776.56
4. Step 4: Simplify right side
   2,506.72x = 2,920,083.04
5. Step 5: Solve for x
   x = 2,920,083.04/2,506.72
6. Step 6: Final answer
   x = 1,164.90