Finding the Fourth Proportional to 1,997.34, 2,995.31 and 765.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,997.34 : 2,995.31 = 765.10 : x
2. Step 2: Convert to fraction form
   1,997.34/2,995.31 = 765.10/x
3. Step 3: Cross multiply
   1,997.34x = 2,995.31 × 765.10
4. Step 4: Simplify right side
   1,997.34x = 2,291,711.68
5. Step 5: Solve for x
   x = 2,291,711.68/1,997.34
6. Step 6: Final answer
   x = 1,147.38