Finding the Fourth Proportional to 9,262.34, 12,784.90 and 5,286.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,262.34 : 12,784.90 = 5,286.10 : x
2. Step 2: Convert to fraction form
   9,262.34/12,784.90 = 5,286.10/x
3. Step 3: Cross multiply
   9,262.34x = 12,784.90 × 5,286.10
4. Step 4: Simplify right side
   9,262.34x = 67,582,224.62
5. Step 5: Solve for x
   x = 67,582,224.62/9,262.34
6. Step 6: Final answer
   x = 7,296.46