Finding the Fourth Proportional to 10,559, 15,833.76 and 5,627.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,559 : 15,833.76 = 5,627.48 : x
2. Step 2: Convert to fraction form
   10,559/15,833.76 = 5,627.48/x
3. Step 3: Cross multiply
   10,559x = 15,833.76 × 5,627.48
4. Step 4: Simplify right side
   10,559x = 89,104,167.72
5. Step 5: Solve for x
   x = 89,104,167.72/10,559
6. Step 6: Final answer
   x = 8,438.69