Finding the Fourth Proportional to 10,141.38, 15,199.83 and 5,749.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.38 : 15,199.83 = 5,749.74 : x
2. Step 2: Convert to fraction form
   10,141.38/15,199.83 = 5,749.74/x
3. Step 3: Cross multiply
   10,141.38x = 15,199.83 × 5,749.74
4. Step 4: Simplify right side
   10,141.38x = 87,395,070.54
5. Step 5: Solve for x
   x = 87,395,070.54/10,141.38
6. Step 6: Final answer
   x = 8,617.67