Finding the Fourth Proportional to 9,671.14, 14,475.33 and 5,222.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,671.14 : 14,475.33 = 5,222.62 : x
2. Step 2: Convert to fraction form
   9,671.14/14,475.33 = 5,222.62/x
3. Step 3: Cross multiply
   9,671.14x = 14,475.33 × 5,222.62
4. Step 4: Simplify right side
   9,671.14x = 75,599,147.96
5. Step 5: Solve for x
   x = 75,599,147.96/9,671.14
6. Step 6: Final answer
   x = 7,816.98