Finding the Fourth Proportional to 10,365.58, 14,304.49 and 5,649.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,365.58 : 14,304.49 = 5,649.89 : x
2. Step 2: Convert to fraction form
   10,365.58/14,304.49 = 5,649.89/x
3. Step 3: Cross multiply
   10,365.58x = 14,304.49 × 5,649.89
4. Step 4: Simplify right side
   10,365.58x = 80,818,816.64
5. Step 5: Solve for x
   x = 80,818,816.64/10,365.58
6. Step 6: Final answer
   x = 7,796.85