Finding the Fourth Proportional to 10,026.60, 13,836.12 and 5,550.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.60 : 13,836.12 = 5,550.09 : x
2. Step 2: Convert to fraction form
   10,026.60/13,836.12 = 5,550.09/x
3. Step 3: Cross multiply
   10,026.60x = 13,836.12 × 5,550.09
4. Step 4: Simplify right side
   10,026.60x = 76,791,638.55
5. Step 5: Solve for x
   x = 76,791,638.55/10,026.60
6. Step 6: Final answer
   x = 7,658.79