Finding the Fourth Proportional to 2,514.66, 3,772.71 and 783.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.66 : 3,772.71 = 783.78 : x
2. Step 2: Convert to fraction form
   2,514.66/3,772.71 = 783.78/x
3. Step 3: Cross multiply
   2,514.66x = 3,772.71 × 783.78
4. Step 4: Simplify right side
   2,514.66x = 2,956,974.64
5. Step 5: Solve for x
   x = 2,956,974.64/2,514.66
6. Step 6: Final answer
   x = 1,175.89