Finding the Fourth Proportional to 1,208.55, 1,667.59 and 766.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208.55 : 1,667.59 = 766.16 : x
2. Step 2: Convert to fraction form
   1,208.55/1,667.59 = 766.16/x
3. Step 3: Cross multiply
   1,208.55x = 1,667.59 × 766.16
4. Step 4: Simplify right side
   1,208.55x = 1,277,636.75
5. Step 5: Solve for x
   x = 1,277,636.75/1,208.55
6. Step 6: Final answer
   x = 1,057.16