Finding the Fourth Proportional to 9,891.06, 13,649.63 and 5,414.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,891.06 : 13,649.63 = 5,414.81 : x
2. Step 2: Convert to fraction form
   9,891.06/13,649.63 = 5,414.81/x
3. Step 3: Cross multiply
   9,891.06x = 13,649.63 × 5,414.81
4. Step 4: Simplify right side
   9,891.06x = 73,910,098.31
5. Step 5: Solve for x
   x = 73,910,098.31/9,891.06
6. Step 6: Final answer
   x = 7,472.42