Finding the Fourth Proportional to 9,262.91, 12,782.81 and 5,071.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,262.91 : 12,782.81 = 5,071.16 : x
2. Step 2: Convert to fraction form
   9,262.91/12,782.81 = 5,071.16/x
3. Step 3: Cross multiply
   9,262.91x = 12,782.81 × 5,071.16
4. Step 4: Simplify right side
   9,262.91x = 64,823,610.85
5. Step 5: Solve for x
   x = 64,823,610.85/9,262.91
6. Step 6: Final answer
   x = 6,998.19