Finding the Fourth Proportional to 9,889.60, 13,647.18 and 5,413

Step by Step Solution

1. Step 1: Write the proportion equation
   9,889.60 : 13,647.18 = 5,413 : x
2. Step 2: Convert to fraction form
   9,889.60/13,647.18 = 5,413/x
3. Step 3: Cross multiply
   9,889.60x = 13,647.18 × 5,413
4. Step 4: Simplify right side
   9,889.60x = 73,872,185.34
5. Step 5: Solve for x
   x = 73,872,185.34/9,889.60
6. Step 6: Final answer
   x = 7,469.68