Finding the Fourth Proportional to 3,784.56, 5,667.12 and 2,138.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.56 : 5,667.12 = 2,138.64 : x
2. Step 2: Convert to fraction form
   3,784.56/5,667.12 = 2,138.64/x
3. Step 3: Cross multiply
   3,784.56x = 5,667.12 × 2,138.64
4. Step 4: Simplify right side
   3,784.56x = 12,119,929.52
5. Step 5: Solve for x
   x = 12,119,929.52/3,784.56
6. Step 6: Final answer
   x = 3,202.47