Finding the Fourth Proportional to 10,108.76, 13,949.81 and 5,632.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,108.76 : 13,949.81 = 5,632.25 : x
2. Step 2: Convert to fraction form
   10,108.76/13,949.81 = 5,632.25/x
3. Step 3: Cross multiply
   10,108.76x = 13,949.81 × 5,632.25
4. Step 4: Simplify right side
   10,108.76x = 78,568,719.46
5. Step 5: Solve for x
   x = 78,568,719.46/10,108.76
6. Step 6: Final answer
   x = 7,772.34