Finding the Fourth Proportional to 3,764.17, 5,194.02 and 2,085.67

Step by Step Solution

1. Step 1: Write the proportion equation
   3,764.17 : 5,194.02 = 2,085.67 : x
2. Step 2: Convert to fraction form
   3,764.17/5,194.02 = 2,085.67/x
3. Step 3: Cross multiply
   3,764.17x = 5,194.02 × 2,085.67
4. Step 4: Simplify right side
   3,764.17x = 10,833,040.62
5. Step 5: Solve for x
   x = 10,833,040.62/3,764.17
6. Step 6: Final answer
   x = 2,877.94