Finding the Fourth Proportional to 10,109.21, 13,949.72 and 5,632.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.21 : 13,949.72 = 5,632.54 : x
2. Step 2: Convert to fraction form
   10,109.21/13,949.72 = 5,632.54/x
3. Step 3: Cross multiply
   10,109.21x = 13,949.72 × 5,632.54
4. Step 4: Simplify right side
   10,109.21x = 78,572,313.97
5. Step 5: Solve for x
   x = 78,572,313.97/10,109.21
6. Step 6: Final answer
   x = 7,772.35