Finding the Fourth Proportional to 10,423.14, 14,383.83 and 5,643

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423.14 : 14,383.83 = 5,643 : x
2. Step 2: Convert to fraction form
   10,423.14/14,383.83 = 5,643/x
3. Step 3: Cross multiply
   10,423.14x = 14,383.83 × 5,643
4. Step 4: Simplify right side
   10,423.14x = 81,167,952.69
5. Step 5: Solve for x
   x = 81,167,952.69/10,423.14
6. Step 6: Final answer
   x = 7,787.28