Finding the Fourth Proportional to 10,031.31, 13,843.13 and 5,780.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,031.31 : 13,843.13 = 5,780.82 : x
2. Step 2: Convert to fraction form
   10,031.31/13,843.13 = 5,780.82/x
3. Step 3: Cross multiply
   10,031.31x = 13,843.13 × 5,780.82
4. Step 4: Simplify right side
   10,031.31x = 80,024,613.86
5. Step 5: Solve for x
   x = 80,024,613.86/10,031.31
6. Step 6: Final answer
   x = 7,977.48