Finding the Fourth Proportional to 10,107.30, 13,949.10 and 5,631.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,107.30 : 13,949.10 = 5,631.78 : x
2. Step 2: Convert to fraction form
   10,107.30/13,949.10 = 5,631.78/x
3. Step 3: Cross multiply
   10,107.30x = 13,949.10 × 5,631.78
4. Step 4: Simplify right side
   10,107.30x = 78,558,262.40
5. Step 5: Solve for x
   x = 78,558,262.40/10,107.30
6. Step 6: Final answer
   x = 7,772.43