Finding the Fourth Proportional to 9,840.02, 13,578.72 and 5,648

Step by Step Solution

1. Step 1: Write the proportion equation
   9,840.02 : 13,578.72 = 5,648 : x
2. Step 2: Convert to fraction form
   9,840.02/13,578.72 = 5,648/x
3. Step 3: Cross multiply
   9,840.02x = 13,578.72 × 5,648
4. Step 4: Simplify right side
   9,840.02x = 76,692,610.56
5. Step 5: Solve for x
   x = 76,692,610.56/9,840.02
6. Step 6: Final answer
   x = 7,793.95