Finding the Fourth Proportional to 10,365, 14,303.76 and 5,649.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,365 : 14,303.76 = 5,649.60 : x
2. Step 2: Convert to fraction form
   10,365/14,303.76 = 5,649.60/x
3. Step 3: Cross multiply
   10,365x = 14,303.76 × 5,649.60
4. Step 4: Simplify right side
   10,365x = 80,810,522.50
5. Step 5: Solve for x
   x = 80,810,522.50/10,365
6. Step 6: Final answer
   x = 7,796.48