Finding the Fourth Proportional to 10,106.30, 13,947.72 and 5,630.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.30 : 13,947.72 = 5,630.78 : x
2. Step 2: Convert to fraction form
   10,106.30/13,947.72 = 5,630.78/x
3. Step 3: Cross multiply
   10,106.30x = 13,947.72 × 5,630.78
4. Step 4: Simplify right side
   10,106.30x = 78,536,542.82
5. Step 5: Solve for x
   x = 78,536,542.82/10,106.30
6. Step 6: Final answer
   x = 7,771.05