Finding the Fourth Proportional to 9,762.30, 13,471.98 and 5,286.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,762.30 : 13,471.98 = 5,286.09 : x
2. Step 2: Convert to fraction form
   9,762.30/13,471.98 = 5,286.09/x
3. Step 3: Cross multiply
   9,762.30x = 13,471.98 × 5,286.09
4. Step 4: Simplify right side
   9,762.30x = 71,214,098.76
5. Step 5: Solve for x
   x = 71,214,098.76/9,762.30
6. Step 6: Final answer
   x = 7,294.81