Finding the Fourth Proportional to 3,780, 5,667.12 and 2,238.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780 : 5,667.12 = 2,238.24 : x
2. Step 2: Convert to fraction form
   3,780/5,667.12 = 2,238.24/x
3. Step 3: Cross multiply
   3,780x = 5,667.12 × 2,238.24
4. Step 4: Simplify right side
   3,780x = 12,684,374.67
5. Step 5: Solve for x
   x = 12,684,374.67/3,780
6. Step 6: Final answer
   x = 3,355.65