Finding the Fourth Proportional to 3,667.80, 5,061.96 and 2,096.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,667.80 : 5,061.96 = 2,096.16 : x
2. Step 2: Convert to fraction form
   3,667.80/5,061.96 = 2,096.16/x
3. Step 3: Cross multiply
   3,667.80x = 5,061.96 × 2,096.16
4. Step 4: Simplify right side
   3,667.80x = 10,610,678.07
5. Step 5: Solve for x
   x = 10,610,678.07/3,667.80
6. Step 6: Final answer
   x = 2,892.93