Finding the Fourth Proportional to 1,997.78, 2,997.27 and 765.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,997.78 : 2,997.27 = 765.30 : x
2. Step 2: Convert to fraction form
   1,997.78/2,997.27 = 765.30/x
3. Step 3: Cross multiply
   1,997.78x = 2,997.27 × 765.30
4. Step 4: Simplify right side
   1,997.78x = 2,293,810.73
5. Step 5: Solve for x
   x = 2,293,810.73/1,997.78
6. Step 6: Final answer
   x = 1,148.18