Finding the Fourth Proportional to 10,109.26, 13,947.49 and 5,632.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.26 : 13,947.49 = 5,632.15 : x
2. Step 2: Convert to fraction form
   10,109.26/13,947.49 = 5,632.15/x
3. Step 3: Cross multiply
   10,109.26x = 13,947.49 × 5,632.15
4. Step 4: Simplify right side
   10,109.26x = 78,554,355.80
5. Step 5: Solve for x
   x = 78,554,355.80/10,109.26
6. Step 6: Final answer
   x = 7,770.53