Finding the Fourth Proportional to 10,365.02, 14,303.71 and 5,649.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,365.02 : 14,303.71 = 5,649.30 : x
2. Step 2: Convert to fraction form
   10,365.02/14,303.71 = 5,649.30/x
3. Step 3: Cross multiply
   10,365.02x = 14,303.71 × 5,649.30
4. Step 4: Simplify right side
   10,365.02x = 80,805,948.90
5. Step 5: Solve for x
   x = 80,805,948.90/10,365.02
6. Step 6: Final answer
   x = 7,796.02