Finding the Fourth Proportional to 9,117.89, 13,671.37 and 3,564.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,117.89 : 13,671.37 = 3,564.62 : x
2. Step 2: Convert to fraction form
   9,117.89/13,671.37 = 3,564.62/x
3. Step 3: Cross multiply
   9,117.89x = 13,671.37 × 3,564.62
4. Step 4: Simplify right side
   9,117.89x = 48,733,283.15
5. Step 5: Solve for x
   x = 48,733,283.15/9,117.89
6. Step 6: Final answer
   x = 5,344.80