Finding the Fourth Proportional to 10,106.68, 13,947.18 and 5,630.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.68 : 13,947.18 = 5,630.17 : x
2. Step 2: Convert to fraction form
   10,106.68/13,947.18 = 5,630.17/x
3. Step 3: Cross multiply
   10,106.68x = 13,947.18 × 5,630.17
4. Step 4: Simplify right side
   10,106.68x = 78,524,994.42
5. Step 5: Solve for x
   x = 78,524,994.42/10,106.68
6. Step 6: Final answer
   x = 7,769.61