Finding the Fourth Proportional to 9,891.61, 13,649.89 and 5,414.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,891.61 : 13,649.89 = 5,414.49 : x
2. Step 2: Convert to fraction form
   9,891.61/13,649.89 = 5,414.49/x
3. Step 3: Cross multiply
   9,891.61x = 13,649.89 × 5,414.49
4. Step 4: Simplify right side
   9,891.61x = 73,907,192.91
5. Step 5: Solve for x
   x = 73,907,192.91/9,891.61
6. Step 6: Final answer
   x = 7,471.71