Finding the Fourth Proportional to 3,669.12, 5,061.78 and 2,096.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,669.12 : 5,061.78 = 2,096.64 : x
2. Step 2: Convert to fraction form
   3,669.12/5,061.78 = 2,096.64/x
3. Step 3: Cross multiply
   3,669.12x = 5,061.78 × 2,096.64
4. Step 4: Simplify right side
   3,669.12x = 10,612,730.42
5. Step 5: Solve for x
   x = 10,612,730.42/3,669.12
6. Step 6: Final answer
   x = 2,892.45