Finding the Fourth Proportional to 10,499.63, 15,749.64 and 5,238.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.63 : 15,749.64 = 5,238.27 : x
2. Step 2: Convert to fraction form
   10,499.63/15,749.64 = 5,238.27/x
3. Step 3: Cross multiply
   10,499.63x = 15,749.64 × 5,238.27
4. Step 4: Simplify right side
   10,499.63x = 82,500,866.72
5. Step 5: Solve for x
   x = 82,500,866.72/10,499.63
6. Step 6: Final answer
   x = 7,857.51