Finding the Fourth Proportional to 2,667.40, 3,677.20 and 2,137.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,667.40 : 3,677.20 = 2,137.86 : x
2. Step 2: Convert to fraction form
   2,667.40/3,677.20 = 2,137.86/x
3. Step 3: Cross multiply
   2,667.40x = 3,677.20 × 2,137.86
4. Step 4: Simplify right side
   2,667.40x = 7,861,333.45
5. Step 5: Solve for x
   x = 7,861,333.45/2,667.40
6. Step 6: Final answer
   x = 2,947.19