Finding the Fourth Proportional to 2,522.42, 3,782.88 and 767.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522.42 : 3,782.88 = 767.55 : x
2. Step 2: Convert to fraction form
   2,522.42/3,782.88 = 767.55/x
3. Step 3: Cross multiply
   2,522.42x = 3,782.88 × 767.55
4. Step 4: Simplify right side
   2,522.42x = 2,903,549.54
5. Step 5: Solve for x
   x = 2,903,549.54/2,522.42
6. Step 6: Final answer
   x = 1,151.10