Finding the Fourth Proportional to 9,677.16, 13,354.01 and 5,427.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.16 : 13,354.01 = 5,427.69 : x
2. Step 2: Convert to fraction form
   9,677.16/13,354.01 = 5,427.69/x
3. Step 3: Cross multiply
   9,677.16x = 13,354.01 × 5,427.69
4. Step 4: Simplify right side
   9,677.16x = 72,481,399.40
5. Step 5: Solve for x
   x = 72,481,399.40/9,677.16
6. Step 6: Final answer
   x = 7,489.95