Finding the Fourth Proportional to 2,521.42, 3,781.38 and 766.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,521.42 : 3,781.38 = 766.55 : x
2. Step 2: Convert to fraction form
   2,521.42/3,781.38 = 766.55/x
3. Step 3: Cross multiply
   2,521.42x = 3,781.38 × 766.55
4. Step 4: Simplify right side
   2,521.42x = 2,898,616.84
5. Step 5: Solve for x
   x = 2,898,616.84/2,521.42
6. Step 6: Final answer
   x = 1,149.60