Finding the Fourth Proportional to 9,829.02, 13,563.81 and 5,637

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.02 : 13,563.81 = 5,637 : x
2. Step 2: Convert to fraction form
   9,829.02/13,563.81 = 5,637/x
3. Step 3: Cross multiply
   9,829.02x = 13,563.81 × 5,637
4. Step 4: Simplify right side
   9,829.02x = 76,459,196.97
5. Step 5: Solve for x
   x = 76,459,196.97/9,829.02
6. Step 6: Final answer
   x = 7,778.92