Finding the Fourth Proportional to 10,031.72, 13,844.79 and 5,782.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,031.72 : 13,844.79 = 5,782.93 : x
2. Step 2: Convert to fraction form
   10,031.72/13,844.79 = 5,782.93/x
3. Step 3: Cross multiply
   10,031.72x = 13,844.79 × 5,782.93
4. Step 4: Simplify right side
   10,031.72x = 80,063,416.82
5. Step 5: Solve for x
   x = 80,063,416.82/10,031.72
6. Step 6: Final answer
   x = 7,981.03