Finding the Fourth Proportional to 1,325.75, 1,829.72 and 766.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.75 : 1,829.72 = 766.10 : x
2. Step 2: Convert to fraction form
   1,325.75/1,829.72 = 766.10/x
3. Step 3: Cross multiply
   1,325.75x = 1,829.72 × 766.10
4. Step 4: Simplify right side
   1,325.75x = 1,401,754.98
5. Step 5: Solve for x
   x = 1,401,754.98/1,325.75
6. Step 6: Final answer
   x = 1,057.33