Finding the Fourth Proportional to 2,765.42, 4,156.32 and 2,561.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,765.42 : 4,156.32 = 2,561.72 : x
2. Step 2: Convert to fraction form
   2,765.42/4,156.32 = 2,561.72/x
3. Step 3: Cross multiply
   2,765.42x = 4,156.32 × 2,561.72
4. Step 4: Simplify right side
   2,765.42x = 10,647,328.07
5. Step 5: Solve for x
   x = 10,647,328.07/2,765.42
6. Step 6: Final answer
   x = 3,850.17