Finding the Fourth Proportional to 10,026.38, 13,836.20 and 5,550.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.38 : 13,836.20 = 5,550.13 : x
2. Step 2: Convert to fraction form
   10,026.38/13,836.20 = 5,550.13/x
3. Step 3: Cross multiply
   10,026.38x = 13,836.20 × 5,550.13
4. Step 4: Simplify right side
   10,026.38x = 76,792,625.65
5. Step 5: Solve for x
   x = 76,792,625.65/10,026.38
6. Step 6: Final answer
   x = 7,659.06