Finding the Fourth Proportional to 10,031.60, 13,843.31 and 5,782.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,031.60 : 13,843.31 = 5,782.68 : x
2. Step 2: Convert to fraction form
   10,031.60/13,843.31 = 5,782.68/x
3. Step 3: Cross multiply
   10,031.60x = 13,843.31 × 5,782.68
4. Step 4: Simplify right side
   10,031.60x = 80,051,402.96
5. Step 5: Solve for x
   x = 80,051,402.96/10,031.60
6. Step 6: Final answer
   x = 7,979.92