Finding the Fourth Proportional to 9,262.84, 12,782.78 and 5,071.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,262.84 : 12,782.78 = 5,071.09 : x
2. Step 2: Convert to fraction form
   9,262.84/12,782.78 = 5,071.09/x
3. Step 3: Cross multiply
   9,262.84x = 12,782.78 × 5,071.09
4. Step 4: Simplify right side
   9,262.84x = 64,822,627.83
5. Step 5: Solve for x
   x = 64,822,627.83/9,262.84
6. Step 6: Final answer
   x = 6,998.14