Finding the Fourth Proportional to 1,208.64, 1,667.52 and 742.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208.64 : 1,667.52 = 742.80 : x
2. Step 2: Convert to fraction form
   1,208.64/1,667.52 = 742.80/x
3. Step 3: Cross multiply
   1,208.64x = 1,667.52 × 742.80
4. Step 4: Simplify right side
   1,208.64x = 1,238,633.86
5. Step 5: Solve for x
   x = 1,238,633.86/1,208.64
6. Step 6: Final answer
   x = 1,024.82