Finding the Fourth Proportional to 9,969.35, 13,757.70 and 5,493.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,969.35 : 13,757.70 = 5,493.09 : x
2. Step 2: Convert to fraction form
   9,969.35/13,757.70 = 5,493.09/x
3. Step 3: Cross multiply
   9,969.35x = 13,757.70 × 5,493.09
4. Step 4: Simplify right side
   9,969.35x = 75,572,284.29
5. Step 5: Solve for x
   x = 75,572,284.29/9,969.35
6. Step 6: Final answer
   x = 7,580.46