Finding the Fourth Proportional to 2,584.27, 3,876.06 and 735.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.27 : 3,876.06 = 735.55 : x
2. Step 2: Convert to fraction form
   2,584.27/3,876.06 = 735.55/x
3. Step 3: Cross multiply
   2,584.27x = 3,876.06 × 735.55
4. Step 4: Simplify right side
   2,584.27x = 2,851,035.93
5. Step 5: Solve for x
   x = 2,851,035.93/2,584.27
6. Step 6: Final answer
   x = 1,103.23