Finding the Fourth Proportional to 10,031.85, 13,844.46 and 5,556.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,031.85 : 13,844.46 = 5,556.09 : x
2. Step 2: Convert to fraction form
   10,031.85/13,844.46 = 5,556.09/x
3. Step 3: Cross multiply
   10,031.85x = 13,844.46 × 5,556.09
4. Step 4: Simplify right side
   10,031.85x = 76,921,065.76
5. Step 5: Solve for x
   x = 76,921,065.76/10,031.85
6. Step 6: Final answer
   x = 7,667.68