Finding the Fourth Proportional to 9,969.80, 13,758.14 and 5,493.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,969.80 : 13,758.14 = 5,493.96 : x
2. Step 2: Convert to fraction form
   9,969.80/13,758.14 = 5,493.96/x
3. Step 3: Cross multiply
   9,969.80x = 13,758.14 × 5,493.96
4. Step 4: Simplify right side
   9,969.80x = 75,586,670.83
5. Step 5: Solve for x
   x = 75,586,670.83/9,969.80
6. Step 6: Final answer
   x = 7,581.56