Finding the Fourth Proportional to 9,665.99, 13,338.36 and 5,416.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.99 : 13,338.36 = 5,416.46 : x
2. Step 2: Convert to fraction form
   9,665.99/13,338.36 = 5,416.46/x
3. Step 3: Cross multiply
   9,665.99x = 13,338.36 × 5,416.46
4. Step 4: Simplify right side
   9,665.99x = 72,246,626.71
5. Step 5: Solve for x
   x = 72,246,626.71/9,665.99
6. Step 6: Final answer
   x = 7,474.32