Finding the Fourth Proportional to 9,886.29, 13,641.73 and 5,906.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.29 : 13,641.73 = 5,906.56 : x
2. Step 2: Convert to fraction form
   9,886.29/13,641.73 = 5,906.56/x
3. Step 3: Cross multiply
   9,886.29x = 13,641.73 × 5,906.56
4. Step 4: Simplify right side
   9,886.29x = 80,575,628.54
5. Step 5: Solve for x
   x = 80,575,628.54/9,886.29
6. Step 6: Final answer
   x = 8,150.24