Finding the Fourth Proportional to 9,839.02, 13,577.34 and 5,647

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.02 : 13,577.34 = 5,647 : x
2. Step 2: Convert to fraction form
   9,839.02/13,577.34 = 5,647/x
3. Step 3: Cross multiply
   9,839.02x = 13,577.34 × 5,647
4. Step 4: Simplify right side
   9,839.02x = 76,671,238.98
5. Step 5: Solve for x
   x = 76,671,238.98/9,839.02
6. Step 6: Final answer
   x = 7,792.57