Finding the Fourth Proportional to 10,364.96, 14,303.59 and 5,649.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,364.96 : 14,303.59 = 5,649.14 : x
2. Step 2: Convert to fraction form
   10,364.96/14,303.59 = 5,649.14/x
3. Step 3: Cross multiply
   10,364.96x = 14,303.59 × 5,649.14
4. Step 4: Simplify right side
   10,364.96x = 80,803,004.05
5. Step 5: Solve for x
   x = 80,803,004.05/10,364.96
6. Step 6: Final answer
   x = 7,795.78