Finding the Fourth Proportional to 10,106.50, 13,947.92 and 5,914.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.50 : 13,947.92 = 5,914.75 : x
2. Step 2: Convert to fraction form
   10,106.50/13,947.92 = 5,914.75/x
3. Step 3: Cross multiply
   10,106.50x = 13,947.92 × 5,914.75
4. Step 4: Simplify right side
   10,106.50x = 82,498,459.82
5. Step 5: Solve for x
   x = 82,498,459.82/10,106.50
6. Step 6: Final answer
   x = 8,162.91