Finding the Fourth Proportional to 9,666.20, 13,337.82 and 5,416.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.20 : 13,337.82 = 5,416.94 : x
2. Step 2: Convert to fraction form
   9,666.20/13,337.82 = 5,416.94/x
3. Step 3: Cross multiply
   9,666.20x = 13,337.82 × 5,416.94
4. Step 4: Simplify right side
   9,666.20x = 72,250,170.67
5. Step 5: Solve for x
   x = 72,250,170.67/9,666.20
6. Step 6: Final answer
   x = 7,474.52