Finding the Fourth Proportional to 1,997.75, 2,997.78 and 765.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,997.75 : 2,997.78 = 765.25 : x
2. Step 2: Convert to fraction form
   1,997.75/2,997.78 = 765.25/x
3. Step 3: Cross multiply
   1,997.75x = 2,997.78 × 765.25
4. Step 4: Simplify right side
   1,997.75x = 2,294,051.15
5. Step 5: Solve for x
   x = 2,294,051.15/1,997.75
6. Step 6: Final answer
   x = 1,148.32