Finding the Fourth Proportional to 10,086.47, 13,917.98 and 5,609.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.47 : 13,917.98 = 5,609.66 : x
2. Step 2: Convert to fraction form
   10,086.47/13,917.98 = 5,609.66/x
3. Step 3: Cross multiply
   10,086.47x = 13,917.98 × 5,609.66
4. Step 4: Simplify right side
   10,086.47x = 78,075,048.57
5. Step 5: Solve for x
   x = 78,075,048.57/10,086.47
6. Step 6: Final answer
   x = 7,740.57