Finding the Fourth Proportional to 2,522.04, 3,781.83 and 766.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522.04 : 3,781.83 = 766.74 : x
2. Step 2: Convert to fraction form
   2,522.04/3,781.83 = 766.74/x
3. Step 3: Cross multiply
   2,522.04x = 3,781.83 × 766.74
4. Step 4: Simplify right side
   2,522.04x = 2,899,680.33
5. Step 5: Solve for x
   x = 2,899,680.33/2,522.04
6. Step 6: Final answer
   x = 1,149.74