Finding the Fourth Proportional to 10,026.19, 13,836.59 and 5,549.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.19 : 13,836.59 = 5,549.86 : x
2. Step 2: Convert to fraction form
   10,026.19/13,836.59 = 5,549.86/x
3. Step 3: Cross multiply
   10,026.19x = 13,836.59 × 5,549.86
4. Step 4: Simplify right side
   10,026.19x = 76,791,137.38
5. Step 5: Solve for x
   x = 76,791,137.38/10,026.19
6. Step 6: Final answer
   x = 7,659.05