Finding the Fourth Proportional to 1,164.03, 1,605.78 and 766.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.03 : 1,605.78 = 766.37 : x
2. Step 2: Convert to fraction form
   1,164.03/1,605.78 = 766.37/x
3. Step 3: Cross multiply
   1,164.03x = 1,605.78 × 766.37
4. Step 4: Simplify right side
   1,164.03x = 1,230,613.59
5. Step 5: Solve for x
   x = 1,230,613.59/1,164.03
6. Step 6: Final answer
   x = 1,057.20