Finding the Fourth Proportional to 10,085.09, 13,917.24 and 5,608.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.09 : 13,917.24 = 5,608.80 : x
2. Step 2: Convert to fraction form
   10,085.09/13,917.24 = 5,608.80/x
3. Step 3: Cross multiply
   10,085.09x = 13,917.24 × 5,608.80
4. Step 4: Simplify right side
   10,085.09x = 78,059,015.71
5. Step 5: Solve for x
   x = 78,059,015.71/10,085.09
6. Step 6: Final answer
   x = 7,740.05