Finding the Fourth Proportional to 2,584.31, 3,876.60 and 735.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.31 : 3,876.60 = 735.56 : x
2. Step 2: Convert to fraction form
   2,584.31/3,876.60 = 735.56/x
3. Step 3: Cross multiply
   2,584.31x = 3,876.60 × 735.56
4. Step 4: Simplify right side
   2,584.31x = 2,851,468.33
5. Step 5: Solve for x
   x = 2,851,468.33/2,584.31
6. Step 6: Final answer
   x = 1,103.38