Finding the Fourth Proportional to 10,186.74, 14,057.64 and 5,649.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186.74 : 14,057.64 = 5,649.72 : x
2. Step 2: Convert to fraction form
   10,186.74/14,057.64 = 5,649.72/x
3. Step 3: Cross multiply
   10,186.74x = 14,057.64 × 5,649.72
4. Step 4: Simplify right side
   10,186.74x = 79,421,729.86
5. Step 5: Solve for x
   x = 79,421,729.86/10,186.74
6. Step 6: Final answer
   x = 7,796.58