Finding the Fourth Proportional to 6,945.14, 10,418.78 and 2,264.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,945.14 : 10,418.78 = 2,264.05 : x
2. Step 2: Convert to fraction form
   6,945.14/10,418.78 = 2,264.05/x
3. Step 3: Cross multiply
   6,945.14x = 10,418.78 × 2,264.05
4. Step 4: Simplify right side
   6,945.14x = 23,588,638.86
5. Step 5: Solve for x
   x = 23,588,638.86/6,945.14
6. Step 6: Final answer
   x = 3,396.42