Finding the Fourth Proportional to 9,969.24, 13,758.18 and 5,493

Step by Step Solution

1. Step 1: Write the proportion equation
   9,969.24 : 13,758.18 = 5,493 : x
2. Step 2: Convert to fraction form
   9,969.24/13,758.18 = 5,493/x
3. Step 3: Cross multiply
   9,969.24x = 13,758.18 × 5,493
4. Step 4: Simplify right side
   9,969.24x = 75,573,682.74
5. Step 5: Solve for x
   x = 75,573,682.74/9,969.24
6. Step 6: Final answer
   x = 7,580.69