Finding the Fourth Proportional to 3,674.96, 5,071.56 and 2,102.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,674.96 : 5,071.56 = 2,102.96 : x
2. Step 2: Convert to fraction form
   3,674.96/5,071.56 = 2,102.96/x
3. Step 3: Cross multiply
   3,674.96x = 5,071.56 × 2,102.96
4. Step 4: Simplify right side
   3,674.96x = 10,665,287.82
5. Step 5: Solve for x
   x = 10,665,287.82/3,674.96
6. Step 6: Final answer
   x = 2,902.15