Finding the Fourth Proportional to 3,764.40, 5,194.91 and 2,085.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,764.40 : 5,194.91 = 2,085.83 : x
2. Step 2: Convert to fraction form
   3,764.40/5,194.91 = 2,085.83/x
3. Step 3: Cross multiply
   3,764.40x = 5,194.91 × 2,085.83
4. Step 4: Simplify right side
   3,764.40x = 10,835,677.37
5. Step 5: Solve for x
   x = 10,835,677.37/3,764.40
6. Step 6: Final answer
   x = 2,878.46