Finding the Fourth Proportional to 9,262.68, 12,782.52 and 5,071.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,262.68 : 12,782.52 = 5,071.20 : x
2. Step 2: Convert to fraction form
   9,262.68/12,782.52 = 5,071.20/x
3. Step 3: Cross multiply
   9,262.68x = 12,782.52 × 5,071.20
4. Step 4: Simplify right side
   9,262.68x = 64,822,715.42
5. Step 5: Solve for x
   x = 64,822,715.42/9,262.68
6. Step 6: Final answer
   x = 6,998.27