Finding the Fourth Proportional to 9,665.59, 13,338.51 and 5,416.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.59 : 13,338.51 = 5,416.69 : x
2. Step 2: Convert to fraction form
   9,665.59/13,338.51 = 5,416.69/x
3. Step 3: Cross multiply
   9,665.59x = 13,338.51 × 5,416.69
4. Step 4: Simplify right side
   9,665.59x = 72,250,573.73
5. Step 5: Solve for x
   x = 72,250,573.73/9,665.59
6. Step 6: Final answer
   x = 7,475.03