Finding the Fourth Proportional to 10,106.70, 13,947.12 and 5,630.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.70 : 13,947.12 = 5,630.44 : x
2. Step 2: Convert to fraction form
   10,106.70/13,947.12 = 5,630.44/x
3. Step 3: Cross multiply
   10,106.70x = 13,947.12 × 5,630.44
4. Step 4: Simplify right side
   10,106.70x = 78,528,422.33
5. Step 5: Solve for x
   x = 78,528,422.33/10,106.70
6. Step 6: Final answer
   x = 7,769.94