Finding the Fourth Proportional to 10,383.14, 14,328.50 and 5,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,383.14 : 14,328.50 = 5,667.50 : x
2. Step 2: Convert to fraction form
   10,383.14/14,328.50 = 5,667.50/x
3. Step 3: Cross multiply
   10,383.14x = 14,328.50 × 5,667.50
4. Step 4: Simplify right side
   10,383.14x = 81,206,773.75
5. Step 5: Solve for x
   x = 81,206,773.75/10,383.14
6. Step 6: Final answer
   x = 7,821.02