Finding the Fourth Proportional to 13,649.76, 20,462.49 and 5,327.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,649.76 : 20,462.49 = 5,327.82 : x
2. Step 2: Convert to fraction form
   13,649.76/20,462.49 = 5,327.82/x
3. Step 3: Cross multiply
   13,649.76x = 20,462.49 × 5,327.82
4. Step 4: Simplify right side
   13,649.76x = 109,020,463.47
5. Step 5: Solve for x
   x = 109,020,463.47/13,649.76
6. Step 6: Final answer
   x = 7,986.99