Finding the Fourth Proportional to 10,085.77, 13,917.98 and 5,609.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.77 : 13,917.98 = 5,609.40 : x
2. Step 2: Convert to fraction form
   10,085.77/13,917.98 = 5,609.40/x
3. Step 3: Cross multiply
   10,085.77x = 13,917.98 × 5,609.40
4. Step 4: Simplify right side
   10,085.77x = 78,071,525.58
5. Step 5: Solve for x
   x = 78,071,525.58/10,085.77
6. Step 6: Final answer
   x = 7,740.76