Finding the Fourth Proportional to 9,665.12, 13,338.80 and 5,416.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.12 : 13,338.80 = 5,416.89 : x
2. Step 2: Convert to fraction form
   9,665.12/13,338.80 = 5,416.89/x
3. Step 3: Cross multiply
   9,665.12x = 13,338.80 × 5,416.89
4. Step 4: Simplify right side
   9,665.12x = 72,254,839.66
5. Step 5: Solve for x
   x = 72,254,839.66/9,665.12
6. Step 6: Final answer
   x = 7,475.84