Finding the Fourth Proportional to 10,085.46, 13,917.69 and 5,609.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.46 : 13,917.69 = 5,609.20 : x
2. Step 2: Convert to fraction form
   10,085.46/13,917.69 = 5,609.20/x
3. Step 3: Cross multiply
   10,085.46x = 13,917.69 × 5,609.20
4. Step 4: Simplify right side
   10,085.46x = 78,067,071.95
5. Step 5: Solve for x
   x = 78,067,071.95/10,085.46
6. Step 6: Final answer
   x = 7,740.56