Finding the Fourth Proportional to 10,126.91, 13,975.17 and 5,650.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,126.91 : 13,975.17 = 5,650.58 : x
2. Step 2: Convert to fraction form
   10,126.91/13,975.17 = 5,650.58/x
3. Step 3: Cross multiply
   10,126.91x = 13,975.17 × 5,650.58
4. Step 4: Simplify right side
   10,126.91x = 78,967,816.10
5. Step 5: Solve for x
   x = 78,967,816.10/10,126.91
6. Step 6: Final answer
   x = 7,797.82