Finding the Fourth Proportional to 10,106.38, 13,947.23 and 5,630.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.38 : 13,947.23 = 5,630.13 : x
2. Step 2: Convert to fraction form
   10,106.38/13,947.23 = 5,630.13/x
3. Step 3: Cross multiply
   10,106.38x = 13,947.23 × 5,630.13
4. Step 4: Simplify right side
   10,106.38x = 78,524,779.26
5. Step 5: Solve for x
   x = 78,524,779.26/10,106.38
6. Step 6: Final answer
   x = 7,769.82