Finding the Fourth Proportional to 10,107.80, 13,949.79 and 5,632.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,107.80 : 13,949.79 = 5,632.28 : x
2. Step 2: Convert to fraction form
   10,107.80/13,949.79 = 5,632.28/x
3. Step 3: Cross multiply
   10,107.80x = 13,949.79 × 5,632.28
4. Step 4: Simplify right side
   10,107.80x = 78,569,123.22
5. Step 5: Solve for x
   x = 78,569,123.22/10,107.80
6. Step 6: Final answer
   x = 7,773.12