Finding the Fourth Proportional to 10,106.76, 13,947.76 and 5,630.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.76 : 13,947.76 = 5,630.52 : x
2. Step 2: Convert to fraction form
   10,106.76/13,947.76 = 5,630.52/x
3. Step 3: Cross multiply
   10,106.76x = 13,947.76 × 5,630.52
4. Step 4: Simplify right side
   10,106.76x = 78,533,141.64
5. Step 5: Solve for x
   x = 78,533,141.64/10,106.76
6. Step 6: Final answer
   x = 7,770.36