Finding the Fourth Proportional to 10,107.86, 13,947.59 and 5,631.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,107.86 : 13,947.59 = 5,631.29 : x
2. Step 2: Convert to fraction form
   10,107.86/13,947.59 = 5,631.29/x
3. Step 3: Cross multiply
   10,107.86x = 13,947.59 × 5,631.29
4. Step 4: Simplify right side
   10,107.86x = 78,542,826.20
5. Step 5: Solve for x
   x = 78,542,826.20/10,107.86
6. Step 6: Final answer
   x = 7,770.47