Finding the Fourth Proportional to 2,109.06, 2,911.41 and 2,065.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.06 : 2,911.41 = 2,065.86 : x
2. Step 2: Convert to fraction form
   2,109.06/2,911.41 = 2,065.86/x
3. Step 3: Cross multiply
   2,109.06x = 2,911.41 × 2,065.86
4. Step 4: Simplify right side
   2,109.06x = 6,014,565.46
5. Step 5: Solve for x
   x = 6,014,565.46/2,109.06
6. Step 6: Final answer
   x = 2,851.78