Finding the Fourth Proportional to 9,853.78, 13,598.09 and 5,662.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,853.78 : 13,598.09 = 5,662.10 : x
2. Step 2: Convert to fraction form
   9,853.78/13,598.09 = 5,662.10/x
3. Step 3: Cross multiply
   9,853.78x = 13,598.09 × 5,662.10
4. Step 4: Simplify right side
   9,853.78x = 76,993,745.39
5. Step 5: Solve for x
   x = 76,993,745.39/9,853.78
6. Step 6: Final answer
   x = 7,813.63