Finding the Fourth Proportional to 10,109.36, 13,949.66 and 5,632.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.36 : 13,949.66 = 5,632.79 : x
2. Step 2: Convert to fraction form
   10,109.36/13,949.66 = 5,632.79/x
3. Step 3: Cross multiply
   10,109.36x = 13,949.66 × 5,632.79
4. Step 4: Simplify right side
   10,109.36x = 78,575,407.44
5. Step 5: Solve for x
   x = 78,575,407.44/10,109.36
6. Step 6: Final answer
   x = 7,772.54