Finding the Fourth Proportional to 10,369.82, 14,310.23 and 5,654.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,369.82 : 14,310.23 = 5,654.14 : x
2. Step 2: Convert to fraction form
   10,369.82/14,310.23 = 5,654.14/x
3. Step 3: Cross multiply
   10,369.82x = 14,310.23 × 5,654.14
4. Step 4: Simplify right side
   10,369.82x = 80,912,043.85
5. Step 5: Solve for x
   x = 80,912,043.85/10,369.82
6. Step 6: Final answer
   x = 7,802.65