Finding the Fourth Proportional to 2,522.52, 3,782.88 and 767.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522.52 : 3,782.88 = 767.43 : x
2. Step 2: Convert to fraction form
   2,522.52/3,782.88 = 767.43/x
3. Step 3: Cross multiply
   2,522.52x = 3,782.88 × 767.43
4. Step 4: Simplify right side
   2,522.52x = 2,903,095.60
5. Step 5: Solve for x
   x = 2,903,095.60/2,522.52
6. Step 6: Final answer
   x = 1,150.87