Finding the Fourth Proportional to 10,106.98, 13,947.28 and 5,630.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.98 : 13,947.28 = 5,630.51 : x
2. Step 2: Convert to fraction form
   10,106.98/13,947.28 = 5,630.51/x
3. Step 3: Cross multiply
   10,106.98x = 13,947.28 × 5,630.51
4. Step 4: Simplify right side
   10,106.98x = 78,530,299.51
5. Step 5: Solve for x
   x = 78,530,299.51/10,106.98
6. Step 6: Final answer
   x = 7,769.91