Finding the Fourth Proportional to 9,262.34, 13,898.55 and 5,097.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,262.34 : 13,898.55 = 5,097.14 : x
2. Step 2: Convert to fraction form
   9,262.34/13,898.55 = 5,097.14/x
3. Step 3: Cross multiply
   9,262.34x = 13,898.55 × 5,097.14
4. Step 4: Simplify right side
   9,262.34x = 70,842,855.15
5. Step 5: Solve for x
   x = 70,842,855.15/9,262.34
6. Step 6: Final answer
   x = 7,648.48