Finding the Fourth Proportional to 9,647.96, 13,314.15 and 5,671.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,647.96 : 13,314.15 = 5,671.35 : x
2. Step 2: Convert to fraction form
   9,647.96/13,314.15 = 5,671.35/x
3. Step 3: Cross multiply
   9,647.96x = 13,314.15 × 5,671.35
4. Step 4: Simplify right side
   9,647.96x = 75,509,204.60
5. Step 5: Solve for x
   x = 75,509,204.60/9,647.96
6. Step 6: Final answer
   x = 7,826.45