Finding the Fourth Proportional to 3,764.43, 5,194.82 and 2,085.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,764.43 : 5,194.82 = 2,085.80 : x
2. Step 2: Convert to fraction form
   3,764.43/5,194.82 = 2,085.80/x
3. Step 3: Cross multiply
   3,764.43x = 5,194.82 × 2,085.80
4. Step 4: Simplify right side
   3,764.43x = 10,835,319.15
5. Step 5: Solve for x
   x = 10,835,319.15/3,764.43
6. Step 6: Final answer
   x = 2,878.34