Finding the Fourth Proportional to 2,564.42, 3,847.58 and 1,084.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.42 : 3,847.58 = 1,084.02 : x
2. Step 2: Convert to fraction form
   2,564.42/3,847.58 = 1,084.02/x
3. Step 3: Cross multiply
   2,564.42x = 3,847.58 × 1,084.02
4. Step 4: Simplify right side
   2,564.42x = 4,170,853.67
5. Step 5: Solve for x
   x = 4,170,853.67/2,564.42
6. Step 6: Final answer
   x = 1,626.43