Finding the Fourth Proportional to 1,325.56, 1,829.31 and 765.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.56 : 1,829.31 = 765.98 : x
2. Step 2: Convert to fraction form
   1,325.56/1,829.31 = 765.98/x
3. Step 3: Cross multiply
   1,325.56x = 1,829.31 × 765.98
4. Step 4: Simplify right side
   1,325.56x = 1,401,205.73
5. Step 5: Solve for x
   x = 1,401,205.73/1,325.56
6. Step 6: Final answer
   x = 1,057.07