Finding the Fourth Proportional to 1,325.62, 1,829.59 and 766.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.62 : 1,829.59 = 766.01 : x
2. Step 2: Convert to fraction form
   1,325.62/1,829.59 = 766.01/x
3. Step 3: Cross multiply
   1,325.62x = 1,829.59 × 766.01
4. Step 4: Simplify right side
   1,325.62x = 1,401,476.60
5. Step 5: Solve for x
   x = 1,401,476.60/1,325.62
6. Step 6: Final answer
   x = 1,057.23