Finding the Fourth Proportional to 10,085.34, 13,917.90 and 5,609.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.34 : 13,917.90 = 5,609.48 : x
2. Step 2: Convert to fraction form
   10,085.34/13,917.90 = 5,609.48/x
3. Step 3: Cross multiply
   10,085.34x = 13,917.90 × 5,609.48
4. Step 4: Simplify right side
   10,085.34x = 78,072,112.10
5. Step 5: Solve for x
   x = 78,072,112.10/10,085.34
6. Step 6: Final answer
   x = 7,741.15