Finding the Fourth Proportional to 10,383.64, 14,329.38 and 5,667.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,383.64 : 14,329.38 = 5,667.94 : x
2. Step 2: Convert to fraction form
   10,383.64/14,329.38 = 5,667.94/x
3. Step 3: Cross multiply
   10,383.64x = 14,329.38 × 5,667.94
4. Step 4: Simplify right side
   10,383.64x = 81,218,066.08
5. Step 5: Solve for x
   x = 81,218,066.08/10,383.64
6. Step 6: Final answer
   x = 7,821.73