Finding the Fourth Proportional to 8,142.86, 12,206.82 and 2,945

Step by Step Solution

1. Step 1: Write the proportion equation
   8,142.86 : 12,206.82 = 2,945 : x
2. Step 2: Convert to fraction form
   8,142.86/12,206.82 = 2,945/x
3. Step 3: Cross multiply
   8,142.86x = 12,206.82 × 2,945
4. Step 4: Simplify right side
   8,142.86x = 35,949,084.90
5. Step 5: Solve for x
   x = 35,949,084.90/8,142.86
6. Step 6: Final answer
   x = 4,414.80