Finding the Fourth Proportional to 10,106.80, 13,947.81 and 5,630.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.80 : 13,947.81 = 5,630.55 : x
2. Step 2: Convert to fraction form
   10,106.80/13,947.81 = 5,630.55/x
3. Step 3: Cross multiply
   10,106.80x = 13,947.81 × 5,630.55
4. Step 4: Simplify right side
   10,106.80x = 78,533,841.60
5. Step 5: Solve for x
   x = 78,533,841.60/10,106.80
6. Step 6: Final answer
   x = 7,770.40