Finding the Fourth Proportional to 10,569, 15,848.76 and 5,637.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,569 : 15,848.76 = 5,637.48 : x
2. Step 2: Convert to fraction form
   10,569/15,848.76 = 5,637.48/x
3. Step 3: Cross multiply
   10,569x = 15,848.76 × 5,637.48
4. Step 4: Simplify right side
   10,569x = 89,347,067.52
5. Step 5: Solve for x
   x = 89,347,067.52/10,569
6. Step 6: Final answer
   x = 8,453.69