Finding the Fourth Proportional to 2,103.86, 3,155.42 and 564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,103.86 : 3,155.42 = 564.50 : x
2. Step 2: Convert to fraction form
   2,103.86/3,155.42 = 564.50/x
3. Step 3: Cross multiply
   2,103.86x = 3,155.42 × 564.50
4. Step 4: Simplify right side
   2,103.86x = 1,781,234.59
5. Step 5: Solve for x
   x = 1,781,234.59/2,103.86
6. Step 6: Final answer
   x = 846.65