Finding the Fourth Proportional to 1,325.54, 1,829.01 and 766.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.54 : 1,829.01 = 766.03 : x
2. Step 2: Convert to fraction form
   1,325.54/1,829.01 = 766.03/x
3. Step 3: Cross multiply
   1,325.54x = 1,829.01 × 766.03
4. Step 4: Simplify right side
   1,325.54x = 1,401,076.53
5. Step 5: Solve for x
   x = 1,401,076.53/1,325.54
6. Step 6: Final answer
   x = 1,056.99