Finding the Fourth Proportional to 2,564.86, 3,847.89 and 1,103.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.86 : 3,847.89 = 1,103.20 : x
2. Step 2: Convert to fraction form
   2,564.86/3,847.89 = 1,103.20/x
3. Step 3: Cross multiply
   2,564.86x = 3,847.89 × 1,103.20
4. Step 4: Simplify right side
   2,564.86x = 4,244,992.25
5. Step 5: Solve for x
   x = 4,244,992.25/2,564.86
6. Step 6: Final answer
   x = 1,655.06