Finding the Fourth Proportional to 10,365.50, 14,304.42 and 5,649.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,365.50 : 14,304.42 = 5,649.68 : x
2. Step 2: Convert to fraction form
   10,365.50/14,304.42 = 5,649.68/x
3. Step 3: Cross multiply
   10,365.50x = 14,304.42 × 5,649.68
4. Step 4: Simplify right side
   10,365.50x = 80,815,395.59
5. Step 5: Solve for x
   x = 80,815,395.59/10,365.50
6. Step 6: Final answer
   x = 7,796.57