Finding the Fourth Proportional to 2,085.22, 2,871.76 and 2,039.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.22 : 2,871.76 = 2,039.86 : x
2. Step 2: Convert to fraction form
   2,085.22/2,871.76 = 2,039.86/x
3. Step 3: Cross multiply
   2,085.22x = 2,871.76 × 2,039.86
4. Step 4: Simplify right side
   2,085.22x = 5,857,988.35
5. Step 5: Solve for x
   x = 5,857,988.35/2,085.22
6. Step 6: Final answer
   x = 2,809.29