Finding the Fourth Proportional to 10,026.71, 13,836.26 and 5,550.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.71 : 13,836.26 = 5,550.20 : x
2. Step 2: Convert to fraction form
   10,026.71/13,836.26 = 5,550.20/x
3. Step 3: Cross multiply
   10,026.71x = 13,836.26 × 5,550.20
4. Step 4: Simplify right side
   10,026.71x = 76,794,010.25
5. Step 5: Solve for x
   x = 76,794,010.25/10,026.71
6. Step 6: Final answer
   x = 7,658.94