Finding the Fourth Proportional to 2,085.41, 3,127.31 and 768.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.41 : 3,127.31 = 768.73 : x
2. Step 2: Convert to fraction form
   2,085.41/3,127.31 = 768.73/x
3. Step 3: Cross multiply
   2,085.41x = 3,127.31 × 768.73
4. Step 4: Simplify right side
   2,085.41x = 2,404,057.02
5. Step 5: Solve for x
   x = 2,404,057.02/2,085.41
6. Step 6: Final answer
   x = 1,152.80