Finding the Fourth Proportional to 2,617.56, 3,926.22 and 768.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,617.56 : 3,926.22 = 768.60 : x
2. Step 2: Convert to fraction form
   2,617.56/3,926.22 = 768.60/x
3. Step 3: Cross multiply
   2,617.56x = 3,926.22 × 768.60
4. Step 4: Simplify right side
   2,617.56x = 3,017,692.69
5. Step 5: Solve for x
   x = 3,017,692.69/2,617.56
6. Step 6: Final answer
   x = 1,152.86