Finding the Fourth Proportional to 1,320.49, 1,980.71 and 766.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,320.49 : 1,980.71 = 766.03 : x
2. Step 2: Convert to fraction form
   1,320.49/1,980.71 = 766.03/x
3. Step 3: Cross multiply
   1,320.49x = 1,980.71 × 766.03
4. Step 4: Simplify right side
   1,320.49x = 1,517,269.55
5. Step 5: Solve for x
   x = 1,517,269.55/1,320.49
6. Step 6: Final answer
   x = 1,149.02