Finding the Fourth Proportional to 10,109.40, 13,949.31 and 5,632.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.40 : 13,949.31 = 5,632.14 : x
2. Step 2: Convert to fraction form
   10,109.40/13,949.31 = 5,632.14/x
3. Step 3: Cross multiply
   10,109.40x = 13,949.31 × 5,632.14
4. Step 4: Simplify right side
   10,109.40x = 78,564,466.82
5. Step 5: Solve for x
   x = 78,564,466.82/10,109.40
6. Step 6: Final answer
   x = 7,771.43