Finding the Fourth Proportional to 1,325.42, 1,829.33 and 766.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.42 : 1,829.33 = 766.25 : x
2. Step 2: Convert to fraction form
   1,325.42/1,829.33 = 766.25/x
3. Step 3: Cross multiply
   1,325.42x = 1,829.33 × 766.25
4. Step 4: Simplify right side
   1,325.42x = 1,401,711.13
5. Step 5: Solve for x
   x = 1,401,711.13/1,325.42
6. Step 6: Final answer
   x = 1,057.56