Finding the Fourth Proportional to 9,666.54, 13,338.68 and 5,417.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.54 : 13,338.68 = 5,417.82 : x
2. Step 2: Convert to fraction form
   9,666.54/13,338.68 = 5,417.82/x
3. Step 3: Cross multiply
   9,666.54x = 13,338.68 × 5,417.82
4. Step 4: Simplify right side
   9,666.54x = 72,266,540.19
5. Step 5: Solve for x
   x = 72,266,540.19/9,666.54
6. Step 6: Final answer
   x = 7,475.95