Finding the Fourth Proportional to 9,969.64, 13,758.89 and 5,494.19

Step by Step Solution

1. Step 1: Write the proportion equation
   9,969.64 : 13,758.89 = 5,494.19 : x
2. Step 2: Convert to fraction form
   9,969.64/13,758.89 = 5,494.19/x
3. Step 3: Cross multiply
   9,969.64x = 13,758.89 × 5,494.19
4. Step 4: Simplify right side
   9,969.64x = 75,593,859.58
5. Step 5: Solve for x
   x = 75,593,859.58/9,969.64
6. Step 6: Final answer
   x = 7,582.41