Finding the Fourth Proportional to 2,584.34, 3,875.74 and 735.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.34 : 3,875.74 = 735.61 : x
2. Step 2: Convert to fraction form
   2,584.34/3,875.74 = 735.61/x
3. Step 3: Cross multiply
   2,584.34x = 3,875.74 × 735.61
4. Step 4: Simplify right side
   2,584.34x = 2,851,033.10
5. Step 5: Solve for x
   x = 2,851,033.10/2,584.34
6. Step 6: Final answer
   x = 1,103.20