Finding the Fourth Proportional to 10,031.19, 13,842.72 and 5,782.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,031.19 : 13,842.72 = 5,782.26 : x
2. Step 2: Convert to fraction form
   10,031.19/13,842.72 = 5,782.26/x
3. Step 3: Cross multiply
   10,031.19x = 13,842.72 × 5,782.26
4. Step 4: Simplify right side
   10,031.19x = 80,042,258.06
5. Step 5: Solve for x
   x = 80,042,258.06/10,031.19
6. Step 6: Final answer
   x = 7,979.34