Finding the Fourth Proportional to 10,365.34, 14,304.15 and 5,649.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,365.34 : 14,304.15 = 5,649.62 : x
2. Step 2: Convert to fraction form
   10,365.34/14,304.15 = 5,649.62/x
3. Step 3: Cross multiply
   10,365.34x = 14,304.15 × 5,649.62
4. Step 4: Simplify right side
   10,365.34x = 80,812,940.40
5. Step 5: Solve for x
   x = 80,812,940.40/10,365.34
6. Step 6: Final answer
   x = 7,796.46