Finding the Fourth Proportional to 2,521.76, 3,781.86 and 766.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,521.76 : 3,781.86 = 766.69 : x
2. Step 2: Convert to fraction form
   2,521.76/3,781.86 = 766.69/x
3. Step 3: Cross multiply
   2,521.76x = 3,781.86 × 766.69
4. Step 4: Simplify right side
   2,521.76x = 2,899,514.24
5. Step 5: Solve for x
   x = 2,899,514.24/2,521.76
6. Step 6: Final answer
   x = 1,149.80