Finding the Fourth Proportional to 1,208.52, 1,667.52 and 766.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208.52 : 1,667.52 = 766.08 : x
2. Step 2: Convert to fraction form
   1,208.52/1,667.52 = 766.08/x
3. Step 3: Cross multiply
   1,208.52x = 1,667.52 × 766.08
4. Step 4: Simplify right side
   1,208.52x = 1,277,453.72
5. Step 5: Solve for x
   x = 1,277,453.72/1,208.52
6. Step 6: Final answer
   x = 1,057.04