Finding the Fourth Proportional to 10,109.16, 13,949.34 and 5,632.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.16 : 13,949.34 = 5,632.68 : x
2. Step 2: Convert to fraction form
   10,109.16/13,949.34 = 5,632.68/x
3. Step 3: Cross multiply
   10,109.16x = 13,949.34 × 5,632.68
4. Step 4: Simplify right side
   10,109.16x = 78,572,168.43
5. Step 5: Solve for x
   x = 78,572,168.43/10,109.16
6. Step 6: Final answer
   x = 7,772.37