Finding the Fourth Proportional to 1,208.42, 1,667.76 and 742.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208.42 : 1,667.76 = 742.76 : x
2. Step 2: Convert to fraction form
   1,208.42/1,667.76 = 742.76/x
3. Step 3: Cross multiply
   1,208.42x = 1,667.76 × 742.76
4. Step 4: Simplify right side
   1,208.42x = 1,238,745.42
5. Step 5: Solve for x
   x = 1,238,745.42/1,208.42
6. Step 6: Final answer
   x = 1,025.10