Finding the Fourth Proportional to 9,872.94, 13,624.65 and 5,396.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,872.94 : 13,624.65 = 5,396.69 : x
2. Step 2: Convert to fraction form
   9,872.94/13,624.65 = 5,396.69/x
3. Step 3: Cross multiply
   9,872.94x = 13,624.65 × 5,396.69
4. Step 4: Simplify right side
   9,872.94x = 73,528,046.47
5. Step 5: Solve for x
   x = 73,528,046.47/9,872.94
6. Step 6: Final answer
   x = 7,447.43