Finding the Fourth Proportional to 9,354.43, 12,906.40 and 5,768.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,354.43 : 12,906.40 = 5,768.17 : x
2. Step 2: Convert to fraction form
   9,354.43/12,906.40 = 5,768.17/x
3. Step 3: Cross multiply
   9,354.43x = 12,906.40 × 5,768.17
4. Step 4: Simplify right side
   9,354.43x = 74,446,309.29
5. Step 5: Solve for x
   x = 74,446,309.29/9,354.43
6. Step 6: Final answer
   x = 7,958.40