Finding the Fourth Proportional to 1,325.67, 1,829.64 and 766.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.67 : 1,829.64 = 766.05 : x
2. Step 2: Convert to fraction form
   1,325.67/1,829.64 = 766.05/x
3. Step 3: Cross multiply
   1,325.67x = 1,829.64 × 766.05
4. Step 4: Simplify right side
   1,325.67x = 1,401,595.72
5. Step 5: Solve for x
   x = 1,401,595.72/1,325.67
6. Step 6: Final answer
   x = 1,057.27