Finding the Fourth Proportional to 4,945.14, 7,383.83 and 4,214.34

Step by Step Solution

1. Step 1: Write the proportion equation
   4,945.14 : 7,383.83 = 4,214.34 : x
2. Step 2: Convert to fraction form
   4,945.14/7,383.83 = 4,214.34/x
3. Step 3: Cross multiply
   4,945.14x = 7,383.83 × 4,214.34
4. Step 4: Simplify right side
   4,945.14x = 31,117,949.05
5. Step 5: Solve for x
   x = 31,117,949.05/4,945.14
6. Step 6: Final answer
   x = 6,292.63