Finding the Fourth Proportional to 3,689.75, 5,091.98 and 2,096.37

Step by Step Solution

1. Step 1: Write the proportion equation
   3,689.75 : 5,091.98 = 2,096.37 : x
2. Step 2: Convert to fraction form
   3,689.75/5,091.98 = 2,096.37/x
3. Step 3: Cross multiply
   3,689.75x = 5,091.98 × 2,096.37
4. Step 4: Simplify right side
   3,689.75x = 10,674,663.63
5. Step 5: Solve for x
   x = 10,674,663.63/3,689.75
6. Step 6: Final answer
   x = 2,893.06