Finding the Fourth Proportional to 9,400.88, 12,969.78 and 5,624.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,400.88 : 12,969.78 = 5,624.16 : x
2. Step 2: Convert to fraction form
   9,400.88/12,969.78 = 5,624.16/x
3. Step 3: Cross multiply
   9,400.88x = 12,969.78 × 5,624.16
4. Step 4: Simplify right side
   9,400.88x = 72,944,117.88
5. Step 5: Solve for x
   x = 72,944,117.88/9,400.88
6. Step 6: Final answer
   x = 7,759.29